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53916072 = 23372192127
BaseRepresentation
bin1100110110101…
…1000110101000
310202110012221120
43031223012220
5102300303242
65203335240
71223164500
oct315530650
9122405846
1053916072
1128485a41
1216081520
13b229a02
147236a00
154b001ec
hex336b1a8

53916072 has 144 divisors (see below), whose sum is σ = 166786560. Its totient is φ = 14478912.

The previous prime is 53916011. The next prime is 53916073. The reversal of 53916072 is 27061935.

53916072 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not an unprimeable number, because it can be changed into a prime (53916073) 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, 424473 + ... + 424599.

It is an arithmetic number, because the mean of its divisors is an integer number (1158240).

Almost surely, 253916072 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 53916072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (83393280).

53916072 is an abundant number, since it is smaller than the sum of its proper divisors (112870488).

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

53916072 is a wasteful number, since it uses less digits than its factorization.

53916072 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 188 (or 158 counting only the distinct ones).

The product of its (nonzero) digits is 11340, while the sum is 33.

The square root of 53916072 is about 7342.7564306601. The cubic root of 53916072 is about 377.7803937022.

The spelling of 53916072 in words is "fifty-three million, nine hundred sixteen thousand, seventy-two".

Divisors: 1 2 3 4 6 7 8 12 14 19 21 24 28 38 42 49 56 57 76 84 98 114 127 133 147 152 168 196 228 254 266 294 361 381 392 399 456 508 532 588 722 762 798 889 931 1016 1064 1083 1176 1444 1524 1596 1778 1862 2166 2413 2527 2667 2793 2888 3048 3192 3556 3724 4332 4826 5054 5334 5586 6223 7112 7239 7448 7581 8664 9652 10108 10668 11172 12446 14478 15162 16891 17689 18669 19304 20216 21336 22344 24892 28956 30324 33782 35378 37338 45847 49784 50673 53067 57912 60648 67564 70756 74676 91694 101346 106134 118237 135128 137541 141512 149352 183388 202692 212268 236474 275082 320929 354711 366776 405384 424536 472948 550164 641858 709422 945896 962787 1100328 1283716 1418844 1925574 2246503 2567432 2837688 3851148 4493006 6739509 7702296 8986012 13479018 17972024 26958036 53916072