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53248032 = 25321937263
BaseRepresentation
bin1100101100100…
…0000000100000
310201012021120100
43023020000200
5102112414112
65141142400
71214413035
oct313100040
9121167510
1053248032
112806a042
12159baa00
13b054916
14710138c
154a1c2dc
hex32c8020

53248032 has 144 divisors (see below), whose sum is σ = 164324160. Its totient is φ = 16298496.

The previous prime is 53248021. The next prime is 53248033. The reversal of 53248032 is 23084235.

It is a tau number, because it is divible by the number of its divisors (144).

It is a junction number, because it is equal to n+sod(n) for n = 53247987 and 53248005.

It is not an unprimeable number, because it can be changed into a prime (53248033) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 202333 + ... + 202595.

It is an arithmetic number, because the mean of its divisors is an integer number (1141140).

Almost surely, 253248032 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 53248032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (82162080).

53248032 is an abundant number, since it is smaller than the sum of its proper divisors (111076128).

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

53248032 is a wasteful number, since it uses less digits than its factorization.

53248032 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 335 (or 324 counting only the distinct ones).

The product of its (nonzero) digits is 5760, while the sum is 27.

The square root of 53248032 is about 7297.1249132792. The cubic root of 53248032 is about 376.2136253986.

The spelling of 53248032 in words is "fifty-three million, two hundred forty-eight thousand, thirty-two".

Divisors: 1 2 3 4 6 8 9 12 16 18 19 24 32 36 37 38 48 57 72 74 76 96 111 114 144 148 152 171 222 228 263 288 296 304 333 342 444 456 526 592 608 666 684 703 789 888 912 1052 1184 1332 1368 1406 1578 1776 1824 2104 2109 2367 2664 2736 2812 3156 3552 4208 4218 4734 4997 5328 5472 5624 6312 6327 8416 8436 9468 9731 9994 10656 11248 12624 12654 14991 16872 18936 19462 19988 22496 25248 25308 29193 29982 33744 37872 38924 39976 44973 50616 58386 59964 67488 75744 77848 79952 87579 89946 101232 116772 119928 155696 159904 175158 179892 184889 202464 233544 239856 311392 350316 359784 369778 467088 479712 554667 700632 719568 739556 934176 1109334 1401264 1439136 1479112 1664001 2218668 2802528 2958224 3328002 4437336 5916448 6656004 8874672 13312008 17749344 26624016 53248032