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4250631672 = 2332774311351
BaseRepresentation
bin1111110101011011…
…0111110111111000
3101222020022110110200
43331112313313320
532201130203142
61541441442200
7210222526110
oct37526676770
911866273420
104250631672
111891409541
129a7640360
13529825791
142c4756040
1519d28164c
hexfd5b7df8

4250631672 has 96 divisors (see below), whose sum is σ = 13175585280. Its totient is φ = 1212724800.

The previous prime is 4250631653. The next prime is 4250631677. The reversal of 4250631672 is 2761360524.

It is a super-2 number, since 2×42506316722 = 36135739222019031168, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4250631677) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 368797 + ... + 380147.

It is an arithmetic number, because the mean of its divisors is an integer number (137245680).

Almost surely, 24250631672 is an apocalyptic number.

4250631672 is a gapful number since it is divisible by the number (42) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4250631672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6587792640).

4250631672 is an abundant number, since it is smaller than the sum of its proper divisors (8924953608).

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

4250631672 is a wasteful number, since it uses less digits than its factorization.

4250631672 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12113 (or 12106 counting only the distinct ones).

The product of its (nonzero) digits is 60480, while the sum is 36.

The square root of 4250631672 is about 65196.8685751087. The cubic root of 4250631672 is about 1619.8861465482.

The spelling of 4250631672 in words is "four billion, two hundred fifty million, six hundred thirty-one thousand, six hundred seventy-two".

Divisors: 1 2 3 4 6 7 8 9 12 14 18 21 24 28 36 42 56 63 72 84 126 168 252 504 743 1486 2229 2972 4458 5201 5944 6687 8916 10402 11351 13374 15603 17832 20804 22702 26748 31206 34053 41608 45404 46809 53496 62412 68106 79457 90808 93618 102159 124824 136212 158914 187236 204318 238371 272424 317828 374472 408636 476742 635656 715113 817272 953484 1430226 1906968 2860452 5720904 8433793 16867586 25301379 33735172 50602758 59036551 67470344 75904137 101205516 118073102 151808274 177109653 202411032 236146204 303616548 354219306 472292408 531328959 607233096 708438612 1062657918 1416877224 2125315836 4250631672