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61373376 = 263411839
BaseRepresentation
bin1110101000011…
…1101111000000
311021111002110000
43222013233000
5111202422001
610031240000
71343444061
oct352075700
9137432400
1061373376
11317097a9
1218679000
13c93b10c
148218568
1555c4a86
hex3a87bc0

61373376 has 70 divisors (see below), whose sum is σ = 181945280. Its totient is φ = 20456064.

The previous prime is 61373371. The next prime is 61373413. The reversal of 61373376 is 67337316.

61373376 is a `hidden beast` number, since 613 + 7 + 3 + 37 + 6 = 666.

61373376 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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

It is a self number, because there is not a number n which added to its sum of digits gives 61373376.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (61373371) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 9 ways as a sum of consecutive naturals, for example, 736 + ... + 11103.

Almost surely, 261373376 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 61373376, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (90972640).

61373376 is an abundant number, since it is smaller than the sum of its proper divisors (120571904).

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

61373376 is a wasteful number, since it uses less digits than its factorization.

61373376 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11863 (or 11844 counting only the distinct ones).

The product of its digits is 47628, while the sum is 36.

The square root of 61373376 is about 7834.1161594656. The cubic root of 61373376 is about 394.4512510423.

The spelling of 61373376 in words is "sixty-one million, three hundred seventy-three thousand, three hundred seventy-six".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 64 72 81 96 108 144 162 192 216 288 324 432 576 648 864 1296 1728 2592 5184 11839 23678 35517 47356 71034 94712 106551 142068 189424 213102 284136 319653 378848 426204 568272 639306 757696 852408 958959 1136544 1278612 1704816 1917918 2273088 2557224 3409632 3835836 5114448 6819264 7671672 10228896 15343344 20457792 30686688 61373376