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31274152 = 23721317192
BaseRepresentation
bin111011101001…
…1010010101000
32011211220001221
41313103102220
531001233102
63034151424
7526553200
oct167232250
964756057
1031274152
1116720808
12a582574
13662cc20
144221400
152b2b637
hex1dd34a8

31274152 has 144 divisors (see below), whose sum is σ = 82090260. Its totient is φ = 11031552.

The previous prime is 31274147. The next prime is 31274153. The reversal of 31274152 is 25147213.

It is a happy number.

It can be written as a sum of positive squares in 2 ways, for example, as 31203396 + 70756 = 5586^2 + 266^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (31274153) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 1645999 + ... + 1646017.

Almost surely, 231274152 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 31274152, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (41045130).

31274152 is an abundant number, since it is smaller than the sum of its proper divisors (50816108).

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

31274152 is a wasteful number, since it uses less digits than its factorization.

31274152 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 88 (or 58 counting only the distinct ones).

The product of its digits is 1680, while the sum is 25.

The square root of 31274152 is about 5592.3297470732. The cubic root of 31274152 is about 315.0613872130.

The spelling of 31274152 in words is "thirty-one million, two hundred seventy-four thousand, one hundred fifty-two".

Divisors: 1 2 4 7 8 13 14 17 19 26 28 34 38 49 52 56 68 76 91 98 104 119 133 136 152 182 196 221 238 247 266 323 361 364 392 442 476 494 532 637 646 722 728 833 884 931 952 988 1064 1274 1292 1444 1547 1666 1729 1768 1862 1976 2261 2527 2548 2584 2888 3094 3332 3458 3724 4199 4522 4693 5054 5096 6137 6188 6664 6916 7448 8398 9044 9386 10108 10829 12103 12274 12376 13832 15827 16796 17689 18088 18772 20216 21658 24206 24548 29393 31654 32851 33592 35378 37544 42959 43316 48412 49096 58786 63308 65702 70756 79781 85918 86632 96824 117572 126616 131404 141512 159562 171836 205751 229957 235144 262808 300713 319124 343672 411502 459914 558467 601426 638248 823004 919828 1116934 1202852 1646008 1839656 2233868 2405704 3909269 4467736 7818538 15637076 31274152