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52455120 = 2435613583
BaseRepresentation
bin1100100000011…
…0011011010000
310122200222220020
43020012123100
5101412030440
65112143440
71204601244
oct310063320
9118628806
1052455120
1127678343
1215697b80
13ab37a43
146d76424
1549123d0
hex32066d0

52455120 has 80 divisors (see below), whose sum is σ = 165322752. Its totient is φ = 13754880.

The previous prime is 52455103. The next prime is 52455121. The reversal of 52455120 is 2155425.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (80).

It is a super-2 number, since 2×524551202 = 5503079228428800, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (52455121) 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, 12849 + ... + 16431.

Almost surely, 252455120 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 52455120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (82661376).

52455120 is an abundant number, since it is smaller than the sum of its proper divisors (112867632).

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

52455120 is a wasteful number, since it uses less digits than its factorization.

52455120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3660 (or 3654 counting only the distinct ones).

The product of its (nonzero) digits is 2000, while the sum is 24.

The square root of 52455120 is about 7242.5906967052. The cubic root of 52455120 is about 374.3368903416.

The spelling of 52455120 in words is "fifty-two million, four hundred fifty-five thousand, one hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 40 48 60 61 80 120 122 183 240 244 305 366 488 610 732 915 976 1220 1464 1830 2440 2928 3583 3660 4880 7166 7320 10749 14332 14640 17915 21498 28664 35830 42996 53745 57328 71660 85992 107490 143320 171984 214980 218563 286640 429960 437126 655689 859920 874252 1092815 1311378 1748504 2185630 2622756 3278445 3497008 4371260 5245512 6556890 8742520 10491024 13113780 17485040 26227560 52455120