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61076352 = 273533001
BaseRepresentation
bin1110100011111…
…1001110000000
311020221000000010
43220333032000
5111113420402
610021024520
71341066111
oct350771600
9136830003
1061076352
1131526627
1218555140
13c865b6c
14817c208
155566a6c
hex3a3f380

61076352 has 64 divisors (see below), whose sum is σ = 165350160. Its totient is φ = 19968000.

The previous prime is 61076333. The next prime is 61076363. The reversal of 61076352 is 25367016.

61076352 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (64).

It is a congruent number.

It is an unprimeable number.

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 7 ways as a sum of consecutive naturals, for example, 18852 + ... + 21852.

Almost surely, 261076352 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 61076352, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (82675080).

61076352 is an abundant number, since it is smaller than the sum of its proper divisors (104273808).

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

61076352 is a wasteful number, since it uses less digits than its factorization.

61076352 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3071 (or 3059 counting only the distinct ones).

The product of its (nonzero) digits is 7560, while the sum is 30.

The square root of 61076352 is about 7815.1360832682. The cubic root of 61076352 is about 393.8138899602.

The spelling of 61076352 in words is "sixty-one million, seventy-six thousand, three hundred fifty-two".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 53 64 96 106 128 159 192 212 318 384 424 636 848 1272 1696 2544 3001 3392 5088 6002 6784 9003 10176 12004 18006 20352 24008 36012 48016 72024 96032 144048 159053 192064 288096 318106 384128 477159 576192 636212 954318 1152384 1272424 1908636 2544848 3817272 5089696 7634544 10179392 15269088 20358784 30538176 61076352