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1025522568 = 2332721915299
BaseRepresentation
bin111101001000000…
…011101110001000
32122110200221111100
4331020003232020
54100013210233
6245432301400
734261540500
oct7510035610
92573627440
101025522568
11486976314
12247541860
131346051b5
149a2b2a00
1560073813
hex3d203b88

1025522568 has 144 divisors (see below), whose sum is σ = 3401190000. Its totient is φ = 277566912.

The previous prime is 1025522567. The next prime is 1025522591. The reversal of 1025522568 is 8652255201.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (1025522567) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 59383 + ... + 74681.

It is an arithmetic number, because the mean of its divisors is an integer number (23619375).

Almost surely, 21025522568 is an apocalyptic number.

1025522568 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1025522568, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1700595000).

1025522568 is an abundant number, since it is smaller than the sum of its proper divisors (2375667432).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

1025522568 is a wasteful number, since it uses less digits than its factorization.

1025522568 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15344 (or 15330 counting only the distinct ones).

The product of its (nonzero) digits is 48000, while the sum is 36.

The square root of 1025522568 is about 32023.7812882864. The cubic root of 1025522568 is about 1008.4361538450.

Adding to 1025522568 its reverse (8652255201), we get a palindrome (9677777769).

It can be divided in two parts, 10255 and 22568, that added together give a palindrome (32823).

The spelling of 1025522568 in words is "one billion, twenty-five million, five hundred twenty-two thousand, five hundred sixty-eight".

Divisors: 1 2 3 4 6 7 8 9 12 14 18 19 21 24 28 36 38 42 49 56 57 63 72 76 84 98 114 126 133 147 152 168 171 196 228 252 266 294 342 392 399 441 456 504 532 588 684 798 882 931 1064 1176 1197 1368 1596 1764 1862 2394 2793 3192 3528 3724 4788 5586 7448 8379 9576 11172 15299 16758 22344 30598 33516 45897 61196 67032 91794 107093 122392 137691 183588 214186 275382 290681 321279 367176 428372 550764 581362 642558 749651 856744 872043 963837 1101528 1162724 1285116 1499302 1744086 1927674 2034767 2248953 2325448 2570232 2616129 2998604 3488172 3855348 4069534 4497906 5232258 5997208 6104301 6746859 6976344 7710696 8139068 8995812 10464516 12208602 13493718 14243369 16278136 17991624 18312903 20929032 24417204 26987436 28486738 36625806 42730107 48834408 53974872 56973476 73251612 85460214 113946952 128190321 146503224 170920428 256380642 341840856 512761284 1025522568