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61626016 = 2523313773
BaseRepresentation
bin1110101100010…
…1011010100000
311021221221000001
43223011122200
5111234013031
610040505344
71345545454
oct353053240
9137857001
1061626016
11318715a1
121877b254
13c9c90ca
148282664
155624861
hex3ac56a0

61626016 has 96 divisors (see below), whose sum is σ = 136055808. Its totient is φ = 27371520.

The previous prime is 61626011. The next prime is 61626023. The reversal of 61626016 is 61062616.

It is not an unprimeable number, because it can be changed into a prime (61626011) 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, 844156 + ... + 844228.

It is an arithmetic number, because the mean of its divisors is an integer number (1417248).

Almost surely, 261626016 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 61626016, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (68027904).

61626016 is an abundant number, since it is smaller than the sum of its proper divisors (74429792).

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

61626016 is a wasteful number, since it uses less digits than its factorization.

61626016 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 174 (or 166 counting only the distinct ones).

The product of its (nonzero) digits is 2592, while the sum is 28.

The square root of 61626016 is about 7850.2239458502. The cubic root of 61626016 is about 394.9917554226.

The spelling of 61626016 in words is "sixty-one million, six hundred twenty-six thousand, sixteen".

Divisors: 1 2 4 8 16 23 31 32 37 46 62 73 74 92 124 146 148 184 248 292 296 368 496 584 592 713 736 851 992 1147 1168 1184 1426 1679 1702 2263 2294 2336 2701 2852 3358 3404 4526 4588 5402 5704 6716 6808 9052 9176 10804 11408 13432 13616 18104 18352 21608 22816 26381 26864 27232 36208 36704 43216 52049 52762 53728 62123 72416 83731 86432 104098 105524 124246 167462 208196 211048 248492 334924 416392 422096 496984 669848 832784 844192 993968 1339696 1665568 1925813 1987936 2679392 3851626 7703252 15406504 30813008 61626016