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53141472 = 2532374987
BaseRepresentation
bin1100101010110…
…1111111100000
310200222212101200
43022231333200
5102101011342
65135001200
71213460256
oct312557740
9120885350
1053141472
1127aa6a7a
1215969200
13b018277
1470b45d6
1549ea94c
hex32adfe0

53141472 has 72 divisors (see below), whose sum is σ = 155236536. Its totient is φ = 17231616.

The previous prime is 53141467. The next prime is 53141489. The reversal of 53141472 is 27414135.

53141472 is a `hidden beast` number, since 53 + 141 + 472 = 666.

It is a tau number, because it is divible by the number of its divisors (72).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 8163 + ... + 13149.

It is an arithmetic number, because the mean of its divisors is an integer number (2156063).

Almost surely, 253141472 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 53141472, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (77618268).

53141472 is an abundant number, since it is smaller than the sum of its proper divisors (102095064).

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

53141472 is a wasteful number, since it uses less digits than its factorization.

53141472 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5040 (or 5029 counting only the distinct ones).

The product of its digits is 3360, while the sum is 27.

The square root of 53141472 is about 7289.8197508580. The cubic root of 53141472 is about 375.9624981460.

It can be divided in two parts, 5314 and 1472, that added together give a triangular number (6786 = T116).

The spelling of 53141472 in words is "fifty-three million, one hundred forty-one thousand, four hundred seventy-two".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 37 48 72 74 96 111 144 148 222 288 296 333 444 592 666 888 1184 1332 1776 2664 3552 4987 5328 9974 10656 14961 19948 29922 39896 44883 59844 79792 89766 119688 159584 179532 184519 239376 359064 369038 478752 553557 718128 738076 1107114 1436256 1476152 1660671 2214228 2952304 3321342 4428456 5904608 6642684 8856912 13285368 17713824 26570736 53141472