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53217824 = 2511314877
BaseRepresentation
bin1100101100000…
…0101000100000
310201010202010112
43023000220200
5102110432244
65140350452
71214226002
oct313005040
9121122115
1053217824
1128049380
12159a5428
13b043c4a
1470d4372
154a1339e
hex32c0a20

53217824 has 48 divisors (see below), whose sum is σ = 118008576. Its totient is φ = 23404800.

The previous prime is 53217811. The next prime is 53217839. The reversal of 53217824 is 42871235.

It is a Harshad number since it is a multiple of its sum of digits (32).

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 8474 + ... + 13350.

It is an arithmetic number, because the mean of its divisors is an integer number (2458512).

Almost surely, 253217824 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 53217824, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (59004288).

53217824 is an abundant number, since it is smaller than the sum of its proper divisors (64790752).

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

53217824 is a wasteful number, since it uses less digits than its factorization.

53217824 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4929 (or 4921 counting only the distinct ones).

The product of its digits is 13440, while the sum is 32.

The square root of 53217824 is about 7295.0547633311. The cubic root of 53217824 is about 376.1424690226.

The spelling of 53217824 in words is "fifty-three million, two hundred seventeen thousand, eight hundred twenty-four".

Divisors: 1 2 4 8 11 16 22 31 32 44 62 88 124 176 248 341 352 496 682 992 1364 2728 4877 5456 9754 10912 19508 39016 53647 78032 107294 151187 156064 214588 302374 429176 604748 858352 1209496 1663057 1716704 2418992 3326114 4837984 6652228 13304456 26608912 53217824