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53466864 = 24311131773
BaseRepresentation
bin1100101111110…
…1011011110000
310201121101202020
43023331123300
5102141414424
65145551440
71216314033
oct313753360
9121541666
1053466864
11281a94a0
1215aa5580
13b1003c9
14715b01a
154a62079
hex32fd6f0

53466864 has 80 divisors (see below), whose sum is σ = 152025984. Its totient is φ = 16057600.

The previous prime is 53466863. The next prime is 53466869. The reversal of 53466864 is 46866435.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (53466863) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 68782 + ... + 69554.

Almost surely, 253466864 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 53466864, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (76012992).

53466864 is an abundant number, since it is smaller than the sum of its proper divisors (98559120).

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

53466864 is a wasteful number, since it uses less digits than its factorization.

53466864 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 926 (or 920 counting only the distinct ones).

The product of its digits is 414720, while the sum is 42.

The square root of 53466864 is about 7312.1039379921. The cubic root of 53466864 is about 376.7282926640.

The spelling of 53466864 in words is "fifty-three million, four hundred sixty-six thousand, eight hundred sixty-four".

Divisors: 1 2 3 4 6 8 11 12 16 22 24 33 44 48 66 88 131 132 176 262 264 393 524 528 773 786 1048 1441 1546 1572 2096 2319 2882 3092 3144 4323 4638 5764 6184 6288 8503 8646 9276 11528 12368 17006 17292 18552 23056 25509 34012 34584 37104 51018 68024 69168 101263 102036 136048 202526 204072 303789 405052 408144 607578 810104 1113893 1215156 1620208 2227786 2430312 3341679 4455572 4860624 6683358 8911144 13366716 17822288 26733432 53466864