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31472064 = 263413467
BaseRepresentation
bin111100000001…
…1100111000000
32012012221120000
41320003213000
531024101224
63042320000
7531336201
oct170034700
965187500
1031472064
1116846478
12a659000
13669c030
1442735a8
152b6a0c9
hex1e039c0

31472064 has 140 divisors (see below), whose sum is σ = 100684584. Its totient is φ = 9662976.

The previous prime is 31472053. The next prime is 31472069. The reversal of 31472064 is 46027413.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a zygodrome in base 2.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (31472069) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 67159 + ... + 67625.

Almost surely, 231472064 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 31472064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (50342292).

31472064 is an abundant number, since it is smaller than the sum of its proper divisors (69212520).

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

31472064 is a wasteful number, since it uses less digits than its factorization.

31472064 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 504 (or 485 counting only the distinct ones).

The product of its (nonzero) digits is 4032, while the sum is 27.

The square root of 31472064 is about 5609.9967914429. The cubic root of 31472064 is about 315.7245904592.

Adding to 31472064 its reverse (46027413), we get a palindrome (77499477).

The spelling of 31472064 in words is "thirty-one million, four hundred seventy-two thousand, sixty-four".

Divisors: 1 2 3 4 6 8 9 12 13 16 18 24 26 27 32 36 39 48 52 54 64 72 78 81 96 104 108 117 144 156 162 192 208 216 234 288 312 324 351 416 432 467 468 576 624 648 702 832 864 934 936 1053 1248 1296 1401 1404 1728 1868 1872 2106 2496 2592 2802 2808 3736 3744 4203 4212 5184 5604 5616 6071 7472 7488 8406 8424 11208 11232 12142 12609 14944 16812 16848 18213 22416 22464 24284 25218 29888 33624 33696 36426 37827 44832 48568 50436 54639 67248 67392 72852 75654 89664 97136 100872 109278 134496 145704 151308 163917 194272 201744 218556 268992 291408 302616 327834 388544 403488 437112 491751 582816 605232 655668 806976 874224 983502 1165632 1210464 1311336 1748448 1967004 2420928 2622672 3496896 3934008 5245344 7868016 10490688 15736032 31472064