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53442592 = 2571929433
BaseRepresentation
bin1100101111011…
…1100000100000
310201120011110021
43023313200200
5102140130332
65145243224
71216153210
oct313674040
9121504407
1053442592
1128192235
1215a93514
13b0c2348
147152240
154a59c97
hex32f7820

53442592 has 96 divisors (see below), whose sum is σ = 131241600. Its totient is φ = 20901888.

The previous prime is 53442589. The next prime is 53442659. The reversal of 53442592 is 29524435.

It is a super-2 number, since 2×534425922 = 5712221279356928, which contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 123208 + ... + 123640.

It is an arithmetic number, because the mean of its divisors is an integer number (1367100).

Almost surely, 253442592 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 53442592, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (65620800).

53442592 is an abundant number, since it is smaller than the sum of its proper divisors (77799008).

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

53442592 is a wasteful number, since it uses less digits than its factorization.

53442592 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 498 (or 490 counting only the distinct ones).

The product of its digits is 43200, while the sum is 34.

The square root of 53442592 is about 7310.4440357614. Note that the first 3 decimals coincide. The cubic root of 53442592 is about 376.6712770818.

The spelling of 53442592 in words is "fifty-three million, four hundred forty-two thousand, five hundred ninety-two".

Divisors: 1 2 4 7 8 14 16 19 28 29 32 38 56 58 76 112 116 133 152 203 224 232 266 304 406 433 464 532 551 608 812 866 928 1064 1102 1624 1732 2128 2204 3031 3248 3464 3857 4256 4408 6062 6496 6928 7714 8227 8816 12124 12557 13856 15428 16454 17632 24248 25114 30856 32908 48496 50228 57589 61712 65816 87899 96992 100456 115178 123424 131632 175798 200912 230356 238583 263264 351596 401824 460712 477166 703192 921424 954332 1406384 1670081 1842848 1908664 2812768 3340162 3817328 6680324 7634656 13360648 26721296 53442592