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61375392 = 253213397
BaseRepresentation
bin1110101000100…
…0001110100000
311021111012012200
43222020032200
5111203003032
610031253200
71343453001
oct352101640
9137435180
1061375392
1131710271
121867a200
13c93c000
1482191a8
1555c547c
hex3a883a0

61375392 has 144 divisors (see below), whose sum is σ = 191023560. Its totient is φ = 18690048.

The previous prime is 61375361. The next prime is 61375403. The reversal of 61375392 is 29357316.

61375392 is a `hidden beast` number, since 613 + 7 + 5 + 39 + 2 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 1838736 + 59536656 = 1356^2 + 7716^2 .

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

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 632688 + ... + 632784.

Almost surely, 261375392 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 61375392, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (95511780).

61375392 is an abundant number, since it is smaller than the sum of its proper divisors (129648168).

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

61375392 is a wasteful number, since it uses less digits than its factorization.

61375392 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 152 (or 115 counting only the distinct ones).

The product of its digits is 34020, while the sum is 36.

The square root of 61375392 is about 7834.2448264016. The cubic root of 61375392 is about 394.4555699890.

The spelling of 61375392 in words is "sixty-one million, three hundred seventy-five thousand, three hundred ninety-two".

Divisors: 1 2 3 4 6 8 9 12 13 16 18 24 26 32 36 39 48 52 72 78 96 97 104 117 144 156 169 194 208 234 288 291 312 338 388 416 468 507 582 624 676 776 873 936 1014 1164 1248 1261 1352 1521 1552 1746 1872 2028 2197 2328 2522 2704 3042 3104 3492 3744 3783 4056 4394 4656 5044 5408 6084 6591 6984 7566 8112 8788 9312 10088 11349 12168 13182 13968 15132 16224 16393 17576 19773 20176 22698 24336 26364 27936 30264 32786 35152 39546 40352 45396 48672 49179 52728 60528 65572 70304 79092 90792 98358 105456 121056 131144 147537 158184 181584 196716 210912 213109 262288 295074 316368 363168 393432 426218 524576 590148 632736 639327 786864 852436 1180296 1278654 1573728 1704872 1917981 2360592 2557308 3409744 3835962 4721184 5114616 6819488 7671924 10229232 15343848 20458464 30687696 61375392