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53640192 = 210319919
BaseRepresentation
bin1100110010011…
…1110000000000
310201221012111210
43030213300000
5102212441232
65153410120
71220635254
oct314476000
9121835453
1053640192
1128307741
1215b69940
13b161278
1471a4264
154a985cc
hex3327c00

53640192 has 88 divisors (see below), whose sum is σ = 150659200. Its totient is φ = 16920576.

The previous prime is 53640179. The next prime is 53640193. The reversal of 53640192 is 29104635.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (53640193) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 57909 + ... + 58827.

Almost surely, 253640192 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 53640192, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (75329600).

53640192 is an abundant number, since it is smaller than the sum of its proper divisors (97019008).

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

53640192 is a wasteful number, since it uses less digits than its factorization.

53640192 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 961 (or 943 counting only the distinct ones).

The product of its (nonzero) digits is 6480, while the sum is 30.

The square root of 53640192 is about 7323.9464771392. The cubic root of 53640192 is about 377.1349440816.

The spelling of 53640192 in words is "fifty-three million, six hundred forty thousand, one hundred ninety-two".

Divisors: 1 2 3 4 6 8 12 16 19 24 32 38 48 57 64 76 96 114 128 152 192 228 256 304 384 456 512 608 768 912 919 1024 1216 1536 1824 1838 2432 2757 3072 3648 3676 4864 5514 7296 7352 9728 11028 14592 14704 17461 19456 22056 29184 29408 34922 44112 52383 58368 58816 69844 88224 104766 117632 139688 176448 209532 235264 279376 352896 419064 470528 558752 705792 838128 941056 1117504 1411584 1676256 2235008 2823168 3352512 4470016 6705024 8940032 13410048 17880064 26820096 53640192