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53142432 = 2537312551
BaseRepresentation
bin1100101010111…
…0001110100000
310200222220201020
43022232032200
5102101024212
65135005440
71213463130
oct312561640
9120886636
1053142432
1127aa7772
1215969880
13b018835
1470b4ac0
1549ead8c
hex32ae3a0

53142432 has 96 divisors (see below), whose sum is σ = 164634624. Its totient is φ = 14688000.

The previous prime is 53142389. The next prime is 53142433. The reversal of 53142432 is 23424135.

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

It is a Harshad number since it is a multiple of its sum of digits (24).

It is not an unprimeable number, because it can be changed into a prime (53142433) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 19557 + ... + 22107.

It is an arithmetic number, because the mean of its divisors is an integer number (1714944).

Almost surely, 253142432 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 53142432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (82317312).

53142432 is an abundant number, since it is smaller than the sum of its proper divisors (111492192).

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

53142432 is a wasteful number, since it uses less digits than its factorization.

53142432 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2602 (or 2594 counting only the distinct ones).

The product of its digits is 2880, while the sum is 24.

The square root of 53142432 is about 7289.8855958101. The cubic root of 53142432 is about 375.9647620515.

Adding to 53142432 its reverse (23424135), we get a palindrome (76566567).

The spelling of 53142432 in words is "fifty-three million, one hundred forty-two thousand, four hundred thirty-two".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 31 32 42 48 56 62 84 93 96 112 124 168 186 217 224 248 336 372 434 496 651 672 744 868 992 1302 1488 1736 2551 2604 2976 3472 5102 5208 6944 7653 10204 10416 15306 17857 20408 20832 30612 35714 40816 53571 61224 71428 79081 81632 107142 122448 142856 158162 214284 237243 244896 285712 316324 428568 474486 553567 571424 632648 857136 948972 1107134 1265296 1660701 1714272 1897944 2214268 2530592 3321402 3795888 4428536 6642804 7591776 8857072 13285608 17714144 26571216 53142432