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53793216 = 2632611531
BaseRepresentation
bin1100110100110…
…1000111000000
310202012222102100
43031031013000
5102232340331
65200550400
71222143351
oct315150700
9122188370
1053793216
1128401704
1216022400
13b1b5b09
147203d28
154ac8ae6
hex334d1c0

53793216 has 84 divisors (see below), whose sum is σ = 156818584. Its totient is φ = 17625600.

The previous prime is 53793211. The next prime is 53793217. The reversal of 53793216 is 61239735.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (53793211) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 34371 + ... + 35901.

Almost surely, 253793216 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 53793216, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (78409292).

53793216 is an abundant number, since it is smaller than the sum of its proper divisors (103025368).

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

53793216 is a wasteful number, since it uses less digits than its factorization.

53793216 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1610 (or 1597 counting only the distinct ones).

The product of its digits is 34020, while the sum is 36.

The square root of 53793216 is about 7334.3858638607. The cubic root of 53793216 is about 377.4932320468.

The spelling of 53793216 in words is "fifty-three million, seven hundred ninety-three thousand, two hundred sixteen".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 61 64 72 96 122 144 183 192 244 288 366 488 549 576 732 976 1098 1464 1531 1952 2196 2928 3062 3904 4392 4593 5856 6124 8784 9186 11712 12248 13779 17568 18372 24496 27558 35136 36744 48992 55116 73488 93391 97984 110232 146976 186782 220464 280173 293952 373564 440928 560346 747128 840519 881856 1120692 1494256 1681038 2241384 2988512 3362076 4482768 5977024 6724152 8965536 13448304 17931072 26896608 53793216