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52713792 = 2632232173
BaseRepresentation
bin1100100100010…
…1100101000000
310200012010201200
43021011211000
5101443320132
65121501200
71210026345
oct311054500
9120163650
1052713792
112783471a
12157a1800
13abc86c1
1470027cc
154963d7c
hex3245940

52713792 has 126 divisors (see below), whose sum is σ = 158862522. Its totient is φ = 16710144.

The previous prime is 52713767. The next prime is 52713827. The reversal of 52713792 is 29731725.

It can be written as a sum of positive squares in only one way, i.e., 51494976 + 1218816 = 7176^2 + 1104^2 .

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 304618 + ... + 304790.

Almost surely, 252713792 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 52713792, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (79431261).

52713792 is an abundant number, since it is smaller than the sum of its proper divisors (106148730).

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

52713792 is a wasteful number, since it uses less digits than its factorization.

52713792 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 237 (or 201 counting only the distinct ones).

The product of its digits is 26460, while the sum is 36.

The square root of 52713792 is about 7260.4264337572. The cubic root of 52713792 is about 374.9512043176.

The spelling of 52713792 in words is "fifty-two million, seven hundred thirteen thousand, seven hundred ninety-two".

Divisors: 1 2 3 4 6 8 9 12 16 18 23 24 32 36 46 48 64 69 72 92 96 138 144 173 184 192 207 276 288 346 368 414 519 529 552 576 692 736 828 1038 1058 1104 1384 1472 1557 1587 1656 2076 2116 2208 2768 3114 3174 3312 3979 4152 4232 4416 4761 5536 6228 6348 6624 7958 8304 8464 9522 11072 11937 12456 12696 13248 15916 16608 16928 19044 23874 24912 25392 31832 33216 33856 35811 38088 47748 49824 50784 63664 71622 76176 91517 95496 99648 101568 127328 143244 152352 183034 190992 254656 274551 286488 304704 366068 381984 549102 572976 732136 763968 823653 1098204 1145952 1464272 1647306 2196408 2291904 2928544 3294612 4392816 5857088 6589224 8785632 13178448 17571264 26356896 52713792