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635389952 = 2115572
BaseRepresentation
bin100101110111110…
…100100000000000
31122021121011011012
4211313310200000
52300124434302
6143014340052
721513503561
oct4567644000
91567534135
10635389952
112a672a96a
1215895a628
13a1839cb2
146055a168
153abada52
hex25df4800

635389952 has 36 divisors (see below), whose sum is σ = 1272754665. Its totient is φ = 317124608.

The previous prime is 635389949. The next prime is 635389987. The reversal of 635389952 is 259983536.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

It can be written as a sum of positive squares in 2 ways, for example, as 497468416 + 137921536 = 22304^2 + 11744^2 .

It is an ABA number since it can be written as A⋅BA, here for A=2, B=17824.

It is a super-2 number, since 2×6353899522 = 807440782205124608, which contains 22 as substring.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 635389952.

It is an unprimeable number.

It is a polite number, since it can be written in 2 ways as a sum of consecutive naturals, for example, 1140458 + ... + 1141014.

Almost surely, 2635389952 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 635389952

635389952 is an abundant number, since it is smaller than the sum of its proper divisors (637364713).

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

635389952 is an frugal number, since it uses more digits than its factorization.

635389952 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1136 (or 559 counting only the distinct ones).

The product of its digits is 1749600, while the sum is 50.

The square root of 635389952 is about 25206.9425357380. The cubic root of 635389952 is about 859.6997112763.

Multiplying 635389952 by its sum of digits (50), we get a square (31769497600 = 1782402).

The spelling of 635389952 in words is "six hundred thirty-five million, three hundred eighty-nine thousand, nine hundred fifty-two".

Divisors: 1 2 4 8 16 32 64 128 256 512 557 1024 1114 2048 2228 4456 8912 17824 35648 71296 142592 285184 310249 570368 620498 1140736 1240996 2481992 4963984 9927968 19855936 39711872 79423744 158847488 317694976 635389952