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631414432 = 25114167653
BaseRepresentation
bin100101101000101…
…001111010100000
31122000010011202201
4211220221322200
52243120230212
6142353222544
721434635255
oct4550517240
91560104681
10631414432
112a4465010
12157561a54
13a0a7760c
145dc0342c
153a675b57
hex25a29ea0

631414432 has 96 divisors (see below), whose sum is σ = 1412074944. Its totient is φ = 275404800.

The previous prime is 631414393. The next prime is 631414439. The reversal of 631414432 is 234414136.

It is a self number, because there is not a number n which added to its sum of digits gives 631414432.

It is not an unprimeable number, because it can be changed into a prime (631414439) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 966618 + ... + 967270.

It is an arithmetic number, because the mean of its divisors is an integer number (14709114).

Almost surely, 2631414432 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 631414432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (706037472).

631414432 is an abundant number, since it is smaller than the sum of its proper divisors (780660512).

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

631414432 is a wasteful number, since it uses less digits than its factorization.

631414432 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 782 (or 774 counting only the distinct ones).

The product of its digits is 6912, while the sum is 28.

The square root of 631414432 is about 25127.9611588366. The cubic root of 631414432 is about 857.9029635443.

Adding to 631414432 its reverse (234414136), we get a palindrome (865828568).

The spelling of 631414432 in words is "six hundred thirty-one million, four hundred fourteen thousand, four hundred thirty-two".

Divisors: 1 2 4 8 11 16 22 32 41 44 67 82 88 134 164 176 268 328 352 451 536 653 656 737 902 1072 1306 1312 1474 1804 2144 2612 2747 2948 3608 5224 5494 5896 7183 7216 10448 10988 11792 14366 14432 20896 21976 23584 26773 28732 30217 43751 43952 53546 57464 60434 87502 87904 107092 114928 120868 175004 214184 229856 241736 294503 350008 428368 481261 483472 589006 700016 856736 962522 966944 1178012 1400032 1793791 1925044 2356024 3587582 3850088 4712048 7175164 7700176 9424096 14350328 15400352 19731701 28700656 39463402 57401312 78926804 157853608 315707216 631414432