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631374432 = 253131015009
BaseRepresentation
bin100101101000100…
…000001001100000
31122000001010220020
4211220200021200
52243112440212
6142352313440
721434410533
oct4550401140
91560033806
10631374432
112a4437a57
12157542880
13a0a62350
145dbd2a1a
153a668d8c
hex25a20260

631374432 has 96 divisors (see below), whose sum is σ = 1802878560. Its totient is φ = 192307200.

The previous prime is 631374421. The next prime is 631374437. The reversal of 631374432 is 234473136.

It is a tau number, because it is divible by the number of its divisors (96).

It is a Smith number, since the sum of its digits (33) coincides with the sum of the digits of its prime factors.

It is a junction number, because it is equal to n+sod(n) for n = 631374393 and 631374402.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (631374437) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 123544 + ... + 128552.

It is an arithmetic number, because the mean of its divisors is an integer number (18779985).

Almost surely, 2631374432 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 631374432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (901439280).

631374432 is an abundant number, since it is smaller than the sum of its proper divisors (1171504128).

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

631374432 is a wasteful number, since it uses less digits than its factorization.

631374432 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5136 (or 5128 counting only the distinct ones).

The product of its digits is 36288, while the sum is 33.

The square root of 631374432 is about 25127.1652201358. The cubic root of 631374432 is about 857.8848471581.

The spelling of 631374432 in words is "six hundred thirty-one million, three hundred seventy-four thousand, four hundred thirty-two".

Divisors: 1 2 3 4 6 8 12 13 16 24 26 32 39 48 52 78 96 101 104 156 202 208 303 312 404 416 606 624 808 1212 1248 1313 1616 2424 2626 3232 3939 4848 5009 5252 7878 9696 10018 10504 15027 15756 20036 21008 30054 31512 40072 42016 60108 63024 65117 80144 120216 126048 130234 160288 195351 240432 260468 390702 480864 505909 520936 781404 1011818 1041872 1517727 1562808 2023636 2083744 3035454 3125616 4047272 6070908 6251232 6576817 8094544 12141816 13153634 16189088 19730451 24283632 26307268 39460902 48567264 52614536 78921804 105229072 157843608 210458144 315687216 631374432