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61377008 = 2472112647
BaseRepresentation
bin1110101000100…
…0100111110000
311021111021102112
43222020213300
5111203031013
610031304452
71343460500
oct352104760
9137437375
1061377008
1131711500
121867b128
13c93c974
148219a00
1555c5ba8
hex3a889f0

61377008 has 90 divisors (see below), whose sum is σ = 152287128. Its totient is φ = 23876160.

The previous prime is 61376989. The next prime is 61377047. The reversal of 61377008 is 80077316.

It is a happy number.

It is a super-2 number, since 2×613770082 = 7534274222064128, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 94541 + ... + 95187.

Almost surely, 261377008 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 61377008, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (76143564).

61377008 is an abundant number, since it is smaller than the sum of its proper divisors (90910120).

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

61377008 is a wasteful number, since it uses less digits than its factorization.

61377008 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 691 (or 667 counting only the distinct ones).

The product of its (nonzero) digits is 7056, while the sum is 32.

The square root of 61377008 is about 7834.3479626578. The cubic root of 61377008 is about 394.4590319335.

The spelling of 61377008 in words is "sixty-one million, three hundred seventy-seven thousand, eight".

Divisors: 1 2 4 7 8 11 14 16 22 28 44 49 56 77 88 98 112 121 154 176 196 242 308 392 484 539 616 647 784 847 968 1078 1232 1294 1694 1936 2156 2588 3388 4312 4529 5176 5929 6776 7117 8624 9058 10352 11858 13552 14234 18116 23716 28468 31703 36232 47432 49819 56936 63406 72464 78287 94864 99638 113872 126812 156574 199276 253624 313148 348733 398552 507248 548009 626296 697466 797104 1096018 1252592 1394932 2192036 2789864 3836063 4384072 5579728 7672126 8768144 15344252 30688504 61377008