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631275432 = 233431514051
BaseRepresentation
bin100101101000000…
…111111110101000
31121222212010002120
4211220013332220
52243101303212
6142350231240
721433516104
oct4550077650
91558763076
10631275432
112a437a637
121574b5520
13a0a29278
145dba8904
153a64988c
hex25a07fa8

631275432 has 64 divisors (see below), whose sum is σ = 1625986560. Its totient is φ = 204120000.

The previous prime is 631275431. The next prime is 631275439. The reversal of 631275432 is 234572136.

631275432 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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 = 631275393 and 631275402.

It is not an unprimeable number, because it can be changed into a prime (631275431) 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, 153807 + ... + 157857.

It is an arithmetic number, because the mean of its divisors is an integer number (25406040).

Almost surely, 2631275432 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 631275432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (812993280).

631275432 is an abundant number, since it is smaller than the sum of its proper divisors (994711128).

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

631275432 is a wasteful number, since it uses less digits than its factorization.

631275432 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4254 (or 4250 counting only the distinct ones).

The product of its digits is 30240, while the sum is 33.

The square root of 631275432 is about 25125.1951634211. The cubic root of 631275432 is about 857.8400058114.

The spelling of 631275432 in words is "six hundred thirty-one million, two hundred seventy-five thousand, four hundred thirty-two".

Divisors: 1 2 3 4 6 8 12 24 43 86 129 151 172 258 302 344 453 516 604 906 1032 1208 1812 3624 4051 6493 8102 12153 12986 16204 19479 24306 25972 32408 38958 48612 51944 77916 97224 155832 174193 348386 522579 611701 696772 1045158 1223402 1393544 1835103 2090316 2446804 3670206 4180632 4893608 7340412 14680824 26303143 52606286 78909429 105212572 157818858 210425144 315637716 631275432