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53658048 = 263535273
BaseRepresentation
bin1100110010110…
…0000111000000
310201222010000010
43030230013000
5102214024143
65154024520
71221041313
oct314540700
9121863003
1053658048
112831a0a4
1215b78140
13b169432
1471aa97a
154a9da33
hex332c1c0

53658048 has 56 divisors (see below), whose sum is σ = 144676368. Its totient is φ = 17545216.

The previous prime is 53658043. The next prime is 53658083. The reversal of 53658048 is 84085635.

It is a happy number.

It is a super-2 number, since 2×536580482 = 5758372230340608, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 53657997 and 53658015.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (53658041) 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, 7540 + ... + 12812.

Almost surely, 253658048 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 53658048, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (72338184).

53658048 is an abundant number, since it is smaller than the sum of its proper divisors (91018320).

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

53658048 is a wasteful number, since it uses less digits than its factorization.

53658048 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5341 (or 5331 counting only the distinct ones).

The product of its (nonzero) digits is 115200, while the sum is 39.

The square root of 53658048 is about 7325.1653906243. The cubic root of 53658048 is about 377.1767869251.

The spelling of 53658048 in words is "fifty-three million, six hundred fifty-eight thousand, forty-eight".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 53 64 96 106 159 192 212 318 424 636 848 1272 1696 2544 3392 5088 5273 10176 10546 15819 21092 31638 42184 63276 84368 126552 168736 253104 279469 337472 506208 558938 838407 1012416 1117876 1676814 2235752 3353628 4471504 6707256 8943008 13414512 17886016 26829024 53658048