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631282848 = 25371376857
BaseRepresentation
bin100101101000001…
…001110010100000
31121222212111021020
4211220021302200
52243102022343
6142350325440
721433546530
oct4550116240
91558774236
10631282848
112a4385169
121574b9880
13a0a2c761
145dbab4c0
153a64bb83
hex25a09ca0

631282848 has 96 divisors (see below), whose sum is σ = 1907950464. Its totient is φ = 179023872.

The previous prime is 631282829. The next prime is 631282849. The reversal of 631282848 is 848282136.

It is a happy number.

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

It is a super-2 number, since 2×6312828482 = 797036068357982208, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a nude number because it is divisible by every one of its digits.

It is not an unprimeable number, because it can be changed into a prime (631282849) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 88636 + ... + 95492.

It is an arithmetic number, because the mean of its divisors is an integer number (19874484).

Almost surely, 2631282848 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 631282848, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (953975232).

631282848 is an abundant number, since it is smaller than the sum of its proper divisors (1276667616).

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

631282848 is a wasteful number, since it uses less digits than its factorization.

631282848 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7014 (or 7006 counting only the distinct ones).

The product of its digits is 147456, while the sum is 42.

The square root of 631282848 is about 25125.3427439309. The cubic root of 631282848 is about 857.8433649984.

The spelling of 631282848 in words is "six hundred thirty-one million, two hundred eighty-two thousand, eight hundred forty-eight".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 32 42 48 56 84 96 112 137 168 224 274 336 411 548 672 822 959 1096 1644 1918 2192 2877 3288 3836 4384 5754 6576 6857 7672 11508 13152 13714 15344 20571 23016 27428 30688 41142 46032 47999 54856 82284 92064 95998 109712 143997 164568 191996 219424 287994 329136 383992 575988 658272 767984 939409 1151976 1535968 1878818 2303952 2818227 3757636 4607904 5636454 6575863 7515272 11272908 13151726 15030544 19727589 22545816 26303452 30061088 39455178 45091632 52606904 78910356 90183264 105213808 157820712 210427616 315641424 631282848