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1025215152 = 243135927847
BaseRepresentation
bin111101000110111…
…000101010110000
32122110010022210120
4331012320222300
54044423341102
6245421530240
734256120313
oct7506705260
92573108716
101025215152
11486786355
12247413980
131345282b0
149a23297a
15600126bc
hex3d1b8ab0

1025215152 has 80 divisors (see below), whose sum is σ = 2900647680. Its totient is φ = 310093056.

The previous prime is 1025215151. The next prime is 1025215207. The reversal of 1025215152 is 2515125201.

1025215152 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×10252151522 = 2102132215780766208, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is not an unprimeable number, because it can be changed into a prime (1025215151) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 22893 + ... + 50739.

It is an arithmetic number, because the mean of its divisors is an integer number (36258096).

Almost surely, 21025215152 is an apocalyptic number.

1025215152 is a gapful number since it is divisible by the number (12) 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 1025215152, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1450323840).

1025215152 is an abundant number, since it is smaller than the sum of its proper divisors (1875432528).

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

1025215152 is a wasteful number, since it uses less digits than its factorization.

1025215152 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 27930 (or 27924 counting only the distinct ones).

The product of its (nonzero) digits is 1000, while the sum is 24.

The square root of 1025215152 is about 32018.9811205791. The cubic root of 1025215152 is about 1008.3353790789.

The spelling of 1025215152 in words is "one billion, twenty-five million, two hundred fifteen thousand, one hundred fifty-two".

Divisors: 1 2 3 4 6 8 12 13 16 24 26 39 48 52 59 78 104 118 156 177 208 236 312 354 472 624 708 767 944 1416 1534 2301 2832 3068 4602 6136 9204 12272 18408 27847 36816 55694 83541 111388 167082 222776 334164 362011 445552 668328 724022 1086033 1336656 1448044 1642973 2172066 2896088 3285946 4344132 4928919 5792176 6571892 8688264 9857838 13143784 17376528 19715676 21358649 26287568 39431352 42717298 64075947 78862704 85434596 128151894 170869192 256303788 341738384 512607576 1025215152