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31274496 = 293211617
BaseRepresentation
bin111011101001…
…1011000000000
32011211220112200
41313103120000
531001240441
63034153200
7526554201
oct167233000
964756480
1031274496
1116720aa0
12a582800
136630126
1442215a8
152b2b7b6
hex1dd3600

31274496 has 120 divisors (see below), whose sum is σ = 98625384. Its totient is φ = 9461760.

The previous prime is 31274491. The next prime is 31274519. The reversal of 31274496 is 69447213.

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

It is a self number, because there is not a number n which added to its sum of digits gives 31274496.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (31274491) 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 11 ways as a sum of consecutive naturals, for example, 50380 + ... + 50996.

Almost surely, 231274496 is an apocalyptic number.

31274496 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 31274496, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (49312692).

31274496 is an abundant number, since it is smaller than the sum of its proper divisors (67350888).

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

31274496 is a wasteful number, since it uses less digits than its factorization.

31274496 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 652 (or 633 counting only the distinct ones).

The product of its digits is 36288, while the sum is 36.

The square root of 31274496 is about 5592.3605034010. The cubic root of 31274496 is about 315.0625423813.

The spelling of 31274496 in words is "thirty-one million, two hundred seventy-four thousand, four hundred ninety-six".

Divisors: 1 2 3 4 6 8 9 11 12 16 18 22 24 32 33 36 44 48 64 66 72 88 96 99 128 132 144 176 192 198 256 264 288 352 384 396 512 528 576 617 704 768 792 1056 1152 1234 1408 1536 1584 1851 2112 2304 2468 2816 3168 3702 4224 4608 4936 5553 5632 6336 6787 7404 8448 9872 11106 12672 13574 14808 16896 19744 20361 22212 25344 27148 29616 39488 40722 44424 50688 54296 59232 61083 78976 81444 88848 108592 118464 122166 157952 162888 177696 217184 236928 244332 315904 325776 355392 434368 473856 488664 651552 710784 868736 947712 977328 1303104 1421568 1737472 1954656 2606208 2843136 3474944 3909312 5212416 7818624 10424832 15637248 31274496