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52365126 = 231129109251
BaseRepresentation
bin1100011111000…
…0011101000110
310122112102110010
43013300131012
5101401141001
65110211050
71204045002
oct307603506
9118472403
1052365126
1127616770
1215653a86
13ab05aa8
146d51702
1548e58d6
hex31f0746

52365126 has 64 divisors (see below), whose sum is σ = 119750400. Its totient is φ = 15120000.

The previous prime is 52365109. The next prime is 52365143. The reversal of 52365126 is 62156325.

52365126 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (52365109) and next prime (52365143).

It is a junction number, because it is equal to n+sod(n) for n = 52365093 and 52365102.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 208501 + ... + 208751.

It is an arithmetic number, because the mean of its divisors is an integer number (1871100).

Almost surely, 252365126 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 52365126, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (59875200).

52365126 is an abundant number, since it is smaller than the sum of its proper divisors (67385274).

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

52365126 is a wasteful number, since it uses less digits than its factorization.

52365126 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 405.

The product of its digits is 10800, while the sum is 30.

The square root of 52365126 is about 7236.3751975696. The cubic root of 52365126 is about 374.1226922614.

The spelling of 52365126 in words is "fifty-two million, three hundred sixty-five thousand, one hundred twenty-six".

Divisors: 1 2 3 6 11 22 29 33 58 66 87 109 174 218 251 319 327 502 638 654 753 957 1199 1506 1914 2398 2761 3161 3597 5522 6322 7194 7279 8283 9483 14558 16566 18966 21837 27359 34771 43674 54718 69542 80069 82077 104313 160138 164154 208626 240207 300949 480414 601898 793411 902847 1586822 1805694 2380233 4760466 8727521 17455042 26182563 52365126