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31538052 = 22337133209
BaseRepresentation
bin111100001001…
…1101110000100
32012100022002000
41320103232010
531033204202
63043545300
7532032450
oct170235604
965308060
1031538052
1116891007
12a68b230
1366c3090
14428d660
152b7e91c
hex1e13b84

31538052 has 96 divisors (see below), whose sum is σ = 100665600. Its totient is φ = 8315136.

The previous prime is 31538047. The next prime is 31538053. The reversal of 31538052 is 25083513.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (31538053) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 8224 + ... + 11432.

It is an arithmetic number, because the mean of its divisors is an integer number (1048600).

Almost surely, 231538052 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 31538052, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (50332800).

31538052 is an abundant number, since it is smaller than the sum of its proper divisors (69127548).

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

31538052 is a wasteful number, since it uses less digits than its factorization.

31538052 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3242 (or 3234 counting only the distinct ones).

The product of its (nonzero) digits is 3600, while the sum is 27.

The square root of 31538052 is about 5615.8749986089. The cubic root of 31538052 is about 315.9450980835.

The spelling of 31538052 in words is "thirty-one million, five hundred thirty-eight thousand, fifty-two".

Divisors: 1 2 3 4 6 7 9 12 13 14 18 21 26 27 28 36 39 42 52 54 63 78 84 91 108 117 126 156 182 189 234 252 273 351 364 378 468 546 702 756 819 1092 1404 1638 2457 3209 3276 4914 6418 9627 9828 12836 19254 22463 28881 38508 41717 44926 57762 67389 83434 86643 89852 115524 125151 134778 166868 173286 202167 250302 269556 292019 346572 375453 404334 500604 584038 606501 750906 808668 876057 1126359 1168076 1213002 1501812 1752114 2252718 2426004 2628171 3504228 4505436 5256342 7884513 10512684 15769026 31538052