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31422816 = 2537449
BaseRepresentation
bin111011111011…
…1100101100000
32012010110000000
41313313211200
531021012231
63041300000
7531042465
oct167674540
965113000
1031422816
1116812477
12a634600
1366827a9
14425d66c
152b5a6e6
hex1df7960

31422816 has 96 divisors (see below), whose sum is σ = 92988000. Its totient is φ = 10450944.

The previous prime is 31422793. The next prime is 31422829. The reversal of 31422816 is 61822413.

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

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

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

It is a self number, because there is not a number n which added to its sum of digits gives 31422816.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 69760 + ... + 70208.

It is an arithmetic number, because the mean of its divisors is an integer number (968625).

Almost surely, 231422816 is an apocalyptic number.

31422816 is a gapful number since it is divisible by the number (36) 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 31422816, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (46494000).

31422816 is an abundant number, since it is smaller than the sum of its proper divisors (61565184).

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

31422816 is an frugal number, since it uses more digits than its factorization.

31422816 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 480 (or 454 counting only the distinct ones).

The product of its digits is 2304, while the sum is 27.

The square root of 31422816 is about 5605.6057656599. The cubic root of 31422816 is about 315.5598208186.

The spelling of 31422816 in words is "thirty-one million, four hundred twenty-two thousand, eight hundred sixteen".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 72 81 96 108 144 162 216 243 288 324 432 449 486 648 729 864 898 972 1296 1347 1458 1796 1944 2187 2592 2694 2916 3592 3888 4041 4374 5388 5832 7184 7776 8082 8748 10776 11664 12123 14368 16164 17496 21552 23328 24246 32328 34992 36369 43104 48492 64656 69984 72738 96984 109107 129312 145476 193968 218214 290952 327321 387936 436428 581904 654642 872856 981963 1163808 1309284 1745712 1963926 2618568 3491424 3927852 5237136 7855704 10474272 15711408 31422816