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53970336 = 25327191409
BaseRepresentation
bin1100110111100…
…0010110100000
310202112222101100
43031320112200
5102304022321
65204434400
71223511630
oct315702640
9122488340
1053970336
1128512792
12160a8a00
13b248614
14724c6c0
154b11326
hex33785a0

53970336 has 144 divisors (see below), whose sum is σ = 184766400. Its totient is φ = 14598144.

The previous prime is 53970281. The next prime is 53970337. The reversal of 53970336 is 63307935.

It is a tau number, because it is divible by the number of its divisors (144).

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

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 53970336.

It is not an unprimeable number, because it can be changed into a prime (53970337) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 37600 + ... + 39008.

It is an arithmetic number, because the mean of its divisors is an integer number (1283100).

Almost surely, 253970336 is an apocalyptic number.

53970336 is a gapful number since it is divisible by the number (56) 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 53970336, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (92383200).

53970336 is an abundant number, since it is smaller than the sum of its proper divisors (130796064).

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

53970336 is a wasteful number, since it uses less digits than its factorization.

53970336 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1451 (or 1440 counting only the distinct ones).

The product of its (nonzero) digits is 51030, while the sum is 36.

The square root of 53970336 is about 7346.4505715345. The cubic root of 53970336 is about 377.9070906282.

The spelling of 53970336 in words is "fifty-three million, nine hundred seventy thousand, three hundred thirty-six".

Divisors: 1 2 3 4 6 7 8 9 12 14 16 18 19 21 24 28 32 36 38 42 48 56 57 63 72 76 84 96 112 114 126 133 144 152 168 171 224 228 252 266 288 304 336 342 399 456 504 532 608 672 684 798 912 1008 1064 1197 1368 1409 1596 1824 2016 2128 2394 2736 2818 3192 4227 4256 4788 5472 5636 6384 8454 9576 9863 11272 12681 12768 16908 19152 19726 22544 25362 26771 29589 33816 38304 39452 45088 50724 53542 59178 67632 78904 80313 88767 101448 107084 118356 135264 157808 160626 177534 187397 202896 214168 236712 240939 315616 321252 355068 374794 405792 428336 473424 481878 562191 642504 710136 749588 856672 946848 963756 1124382 1285008 1420272 1499176 1686573 1927512 2248764 2570016 2840544 2998352 3373146 3855024 4497528 5996704 6746292 7710048 8995056 13492584 17990112 26985168 53970336