Search a number
-
+
1052355432 = 233192235281
BaseRepresentation
bin111110101110011…
…010101101101000
32201100012012021010
4332232122231220
54123400333212
6252231343520
735035605432
oct7656325550
92640165233
101052355432
114a0033237
12254521ba0
1313a03b72b
149da99652
15625c403c
hex3eb9ab68

1052355432 has 96 divisors (see below), whose sum is σ = 2897916480. Its totient is φ = 317813760.

The previous prime is 1052355377. The next prime is 1052355463. The reversal of 1052355432 is 2345532501.

It is a super-2 number, since 2×10523554322 = 2214903910519813248, which contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 1052355432.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 196632 + ... + 201912.

It is an arithmetic number, because the mean of its divisors is an integer number (30186630).

Almost surely, 21052355432 is an apocalyptic number.

1052355432 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 1052355432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1448958240).

1052355432 is an abundant number, since it is smaller than the sum of its proper divisors (1845561048).

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

1052355432 is a wasteful number, since it uses less digits than its factorization.

1052355432 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5351 (or 5328 counting only the distinct ones).

The product of its (nonzero) digits is 18000, while the sum is 30.

The square root of 1052355432 is about 32440.0282367325. The cubic root of 1052355432 is about 1017.1558058827.

Adding to 1052355432 its reverse (2345532501), we get a palindrome (3397887933).

The spelling of 1052355432 in words is "one billion, fifty-two million, three hundred fifty-five thousand, four hundred thirty-two".

Divisors: 1 2 3 4 6 8 12 19 23 24 38 46 57 69 76 92 114 138 152 184 228 276 361 437 456 552 722 874 1083 1311 1444 1748 2166 2622 2888 3496 4332 5244 5281 8303 8664 10488 10562 15843 16606 21124 24909 31686 33212 42248 49818 63372 66424 99636 100339 121463 126744 199272 200678 242926 301017 364389 401356 485852 602034 728778 802712 971704 1204068 1457556 1906441 2307797 2408136 2915112 3812882 4615594 5719323 6923391 7625764 9231188 11438646 13846782 15251528 18462376 22877292 27693564 43848143 45754584 55387128 87696286 131544429 175392572 263088858 350785144 526177716 1052355432