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52259920 = 2456110709
BaseRepresentation
bin1100011101011…
…0110001010000
310122100002010121
43013112301100
5101334304140
65104040024
71203126166
oct307266120
9118302117
1052259920
1127554719
1215603014
13aa99c3b
146d25236
1548c464a
hex31d6c50

52259920 has 40 divisors (see below), whose sum is σ = 123507720. Its totient is φ = 20559360.

The previous prime is 52259917. The next prime is 52259923. The reversal of 52259920 is 2995225.

It is an interprime number because it is at equal distance from previous prime (52259917) and next prime (52259923).

It can be written as a sum of positive squares in 4 ways, for example, as 5035536 + 47224384 = 2244^2 + 6872^2 .

It is a tau number, because it is divible by the number of its divisors (40).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (52259923) 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, 475 + ... + 10234.

It is an arithmetic number, because the mean of its divisors is an integer number (3087693).

Almost surely, 252259920 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 52259920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (61753860).

52259920 is an abundant number, since it is smaller than the sum of its proper divisors (71247800).

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

52259920 is a wasteful number, since it uses less digits than its factorization.

52259920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10783 (or 10777 counting only the distinct ones).

The product of its (nonzero) digits is 16200, while the sum is 34.

The square root of 52259920 is about 7229.1022955828. The cubic root of 52259920 is about 373.8719761608.

The spelling of 52259920 in words is "fifty-two million, two hundred fifty-nine thousand, nine hundred twenty".

Divisors: 1 2 4 5 8 10 16 20 40 61 80 122 244 305 488 610 976 1220 2440 4880 10709 21418 42836 53545 85672 107090 171344 214180 428360 653249 856720 1306498 2612996 3266245 5225992 6532490 10451984 13064980 26129960 52259920