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52172256 = 2533147373
BaseRepresentation
bin1100011100000…
…1010111100000
310122011121212210
43013001113200
5101324003011
65102122120
71202312463
oct307012740
9118147783
1052172256
11274a4874
1215580340
13aa69076
146d012da
1548a86a6
hex31c15e0

52172256 has 96 divisors (see below), whose sum is σ = 144764928. Its totient is φ = 16427520.

The previous prime is 52172251. The next prime is 52172261. The reversal of 52172256 is 65227125.

It is an interprime number because it is at equal distance from previous prime (52172251) and next prime (52172261).

It is a tau number, because it is divible by the number of its divisors (96).

It is a super-2 number, since 2×521722562 = 5443888592259072, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (52172251) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 139686 + ... + 140058.

It is an arithmetic number, because the mean of its divisors is an integer number (1507968).

Almost surely, 252172256 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 52172256, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (72382464).

52172256 is an abundant number, since it is smaller than the sum of its proper divisors (92592672).

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

52172256 is a wasteful number, since it uses less digits than its factorization.

52172256 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 464 (or 456 counting only the distinct ones).

The product of its digits is 8400, while the sum is 30.

The square root of 52172256 is about 7223.0364805946. The cubic root of 52172256 is about 373.6628072199.

The spelling of 52172256 in words is "fifty-two million, one hundred seventy-two thousand, two hundred fifty-six".

Divisors: 1 2 3 4 6 8 12 16 24 31 32 47 48 62 93 94 96 124 141 186 188 248 282 372 373 376 496 564 744 746 752 992 1119 1128 1457 1488 1492 1504 2238 2256 2914 2976 2984 4371 4476 4512 5828 5968 8742 8952 11563 11656 11936 17484 17531 17904 23126 23312 34689 34968 35062 35808 46252 46624 52593 69378 69936 70124 92504 105186 138756 139872 140248 185008 210372 277512 280496 370016 420744 543461 555024 560992 841488 1086922 1110048 1630383 1682976 2173844 3260766 4347688 6521532 8695376 13043064 17390752 26086128 52172256