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61533696 = 29375997
BaseRepresentation
bin1110101010111…
…0111000000000
311021210020100210
43222232320000
5111223034241
610034514120
71345012350
oct352567000
9137706323
1061533696
11318091a4
1218735940
13c996093
14825ab60
155607316
hex3aaee00

61533696 has 160 divisors (see below), whose sum is σ = 192487680. Its totient is φ = 17104896.

The previous prime is 61533683. The next prime is 61533697. The reversal of 61533696 is 69633516.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (61533697) 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, 634320 + ... + 634416.

It is an arithmetic number, because the mean of its divisors is an integer number (1203048).

Almost surely, 261533696 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 61533696, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (96243840).

61533696 is an abundant number, since it is smaller than the sum of its proper divisors (130953984).

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

61533696 is an equidigital number, since it uses as much as digits as its factorization.

61533696 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 184 (or 168 counting only the distinct ones).

The product of its digits is 87480, while the sum is 39.

The square root of 61533696 is about 7844.3416549765. The cubic root of 61533696 is about 394.7944152637.

The spelling of 61533696 in words is "sixty-one million, five hundred thirty-three thousand, six hundred ninety-six".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 32 42 48 56 59 64 84 96 97 112 118 128 168 177 192 194 224 236 256 291 336 354 384 388 413 448 472 512 582 672 679 708 768 776 826 896 944 1164 1239 1344 1358 1416 1536 1552 1652 1792 1888 2037 2328 2478 2688 2716 2832 3104 3304 3584 3776 4074 4656 4956 5376 5432 5664 5723 6208 6608 7552 8148 9312 9912 10752 10864 11328 11446 12416 13216 15104 16296 17169 18624 19824 21728 22656 22892 24832 26432 30208 32592 34338 37248 39648 40061 43456 45312 45784 49664 52864 65184 68676 74496 79296 80122 86912 90624 91568 105728 120183 130368 137352 148992 158592 160244 173824 183136 211456 240366 260736 274704 317184 320488 347648 366272 480732 521472 549408 634368 640976 732544 961464 1042944 1098816 1281952 1465088 1922928 2197632 2563904 2930176 3845856 4395264 5127808 7691712 8790528 10255616 15383424 20511232 30766848 61533696