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31457844 = 2232111937113
BaseRepresentation
bin111100000000…
…0001000110100
32012012020001100
41320000020310
531023122334
63042130100
7531246555
oct170001064
965166040
1031457844
1116836820
12a650930
136695712
14426c32c
152b65c99
hex1e00234

31457844 has 144 divisors (see below), whose sum is σ = 94610880. Its totient is φ = 8709120.

The previous prime is 31457843. The next prime is 31457849. The reversal of 31457844 is 44875413.

It is a super-3 number, since 3×314578443 (a number of 23 digits) contains 333 as substring.

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

It is a junction number, because it is equal to n+sod(n) for n = 31457799 and 31457808.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (31457843) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 278332 + ... + 278444.

It is an arithmetic number, because the mean of its divisors is an integer number (657020).

Almost surely, 231457844 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 31457844, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (47305440).

31457844 is an abundant number, since it is smaller than the sum of its proper divisors (63153036).

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

31457844 is a wasteful number, since it uses less digits than its factorization.

31457844 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 190 (or 185 counting only the distinct ones).

The product of its digits is 53760, while the sum is 36.

The square root of 31457844 is about 5608.7292678467. The cubic root of 31457844 is about 315.6770320910.

Subtracting 31457844 from its reverse (44875413), we obtain a square (13417569 = 36632).

The spelling of 31457844 in words is "thirty-one million, four hundred fifty-seven thousand, eight hundred forty-four".

Divisors: 1 2 3 4 6 9 11 12 18 19 22 33 36 37 38 44 57 66 74 76 99 111 113 114 132 148 171 198 209 222 226 228 333 339 342 396 407 418 444 452 627 666 678 684 703 814 836 1017 1221 1243 1254 1332 1356 1406 1628 1881 2034 2109 2147 2442 2486 2508 2812 3663 3729 3762 4068 4181 4218 4294 4884 4972 6327 6441 7326 7458 7524 7733 8362 8436 8588 11187 12543 12654 12882 14652 14916 15466 16724 19323 22374 23199 23617 25086 25308 25764 30932 37629 38646 44748 45991 46398 47234 50172 69597 70851 75258 77292 79439 91982 92796 94468 137973 139194 141702 150516 158878 183964 212553 238317 275946 278388 283404 317756 413919 425106 476634 551892 714951 827838 850212 873829 953268 1429902 1655676 1747658 2621487 2859804 3495316 5242974 7864461 10485948 15728922 31457844