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2570104352 = 252931412179
BaseRepresentation
bin1001100100110000…
…1010111000100000
320122010002211101002
42121030022320200
520230421314402
61103010131132
7120455345414
oct23114127040
96563084332
102570104352
1110a9836492
125b8880aa8
1331c60660a
141a549cd44
15100977602
hex9930ae20

2570104352 has 96 divisors (see below), whose sum is σ = 5537548800. Its totient is φ = 1170892800.

The previous prime is 2570104349. The next prime is 2570104391. The reversal of 2570104352 is 2534010752.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (29).

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1178399 + ... + 1180577.

It is an arithmetic number, because the mean of its divisors is an integer number (57682800).

Almost surely, 22570104352 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2570104352, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2768774400).

2570104352 is an abundant number, since it is smaller than the sum of its proper divisors (2967444448).

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

2570104352 is a wasteful number, since it uses less digits than its factorization.

2570104352 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2290 (or 2282 counting only the distinct ones).

The product of its (nonzero) digits is 8400, while the sum is 29.

The square root of 2570104352 is about 50696.1966226264. The cubic root of 2570104352 is about 1369.7782069425.

The spelling of 2570104352 in words is "two billion, five hundred seventy million, one hundred four thousand, three hundred fifty-two".

Divisors: 1 2 4 8 16 29 31 32 41 58 62 82 116 124 164 232 248 328 464 496 656 899 928 992 1189 1271 1312 1798 2179 2378 2542 3596 4358 4756 5084 7192 8716 9512 10168 14384 17432 19024 20336 28768 34864 36859 38048 40672 63191 67549 69728 73718 89339 126382 135098 147436 178678 252764 270196 294872 357356 505528 540392 589744 714712 1011056 1080784 1179488 1429424 1958921 2022112 2161568 2590831 2769509 2858848 3917842 5181662 5539018 7835684 10363324 11078036 15671368 20726648 22156072 31342736 41453296 44312144 62685472 80315761 82906592 88624288 160631522 321263044 642526088 1285052176 2570104352