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53261472 = 25311311627
BaseRepresentation
bin1100101100101…
…1010010100000
310201012222000010
43023023102200
5102113331342
65141324520
71214500155
oct313132240
9121188003
1053261472
1128079150
1215a06740
13b05aa84
14710622c
154a2129c
hex32cb4a0

53261472 has 96 divisors (see below), whose sum is σ = 157538304. Its totient is φ = 15609600.

The previous prime is 53261471. The next prime is 53261473. The reversal of 53261472 is 27416235.

It is an interprime number because it is at equal distance from previous prime (53261471) and next prime (53261473).

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

It is not an unprimeable number, because it can be changed into a prime (53261471) 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, 31923 + ... + 33549.

It is an arithmetic number, because the mean of its divisors is an integer number (1641024).

Almost surely, 253261472 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 53261472, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (78769152).

53261472 is an abundant number, since it is smaller than the sum of its proper divisors (104276832).

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

53261472 is a wasteful number, since it uses less digits than its factorization.

53261472 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1682 (or 1674 counting only the distinct ones).

The product of its digits is 10080, while the sum is 30.

The square root of 53261472 is about 7298.0457658198. The cubic root of 53261472 is about 376.2452753055.

The spelling of 53261472 in words is "fifty-three million, two hundred sixty-one thousand, four hundred seventy-two".

Divisors: 1 2 3 4 6 8 11 12 16 22 24 31 32 33 44 48 62 66 88 93 96 124 132 176 186 248 264 341 352 372 496 528 682 744 992 1023 1056 1364 1488 1627 2046 2728 2976 3254 4092 4881 5456 6508 8184 9762 10912 13016 16368 17897 19524 26032 32736 35794 39048 50437 52064 53691 71588 78096 100874 107382 143176 151311 156192 201748 214764 286352 302622 403496 429528 554807 572704 605244 806992 859056 1109614 1210488 1613984 1664421 1718112 2219228 2420976 3328842 4438456 4841952 6657684 8876912 13315368 17753824 26630736 53261472