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631697152 = 2817373923
BaseRepresentation
bin100101101001101…
…110111100000000
31122000122112120211
4211221232330000
52243203302102
6142403243504
721440223442
oct4551567400
91560575524
10631697152
112a4638469
12157679594
13a0b461c8
145dc78492
153a6ce7d7
hex25a6ef00

631697152 has 72 divisors (see below), whose sum is σ = 1371532176. Its totient is φ = 289161216.

The previous prime is 631697149. The next prime is 631697177. The reversal of 631697152 is 251796136.

It is a super-2 number, since 2×6316971522 = 798082583689822208, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 159063 + ... + 162985.

It is an arithmetic number, because the mean of its divisors is an integer number (19049058).

Almost surely, 2631697152 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 631697152, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (685766088).

631697152 is an abundant number, since it is smaller than the sum of its proper divisors (739835024).

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

631697152 is a wasteful number, since it uses less digits than its factorization.

631697152 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3993 (or 3979 counting only the distinct ones).

The product of its digits is 68040, while the sum is 40.

The square root of 631697152 is about 25133.5861348913. The cubic root of 631697152 is about 858.0309883523.

The spelling of 631697152 in words is "six hundred thirty-one million, six hundred ninety-seven thousand, one hundred fifty-two".

Divisors: 1 2 4 8 16 17 32 34 37 64 68 74 128 136 148 256 272 296 544 592 629 1088 1184 1258 2176 2368 2516 3923 4352 4736 5032 7846 9472 10064 15692 20128 31384 40256 62768 66691 80512 125536 133382 145151 161024 251072 266764 290302 502144 533528 580604 1004288 1067056 1161208 2134112 2322416 2467567 4268224 4644832 4935134 8536448 9289664 9870268 17072896 18579328 19740536 37158656 39481072 78962144 157924288 315848576 631697152