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61480832 = 277591163
BaseRepresentation
bin1110101010000…
…1111110000000
311021200112211212
43222201332000
5111214341312
610033425252
71344402260
oct352417600
9137615755
1061480832
1131782506
121870b228
13c977cba
1482457a0
1555e6822
hex3aa1f80

61480832 has 64 divisors (see below), whose sum is σ = 142473600. Its totient is φ = 25880064.

The previous prime is 61480777. The next prime is 61480847. The reversal of 61480832 is 23808416.

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

It is a Harshad number since it is a multiple of its sum of digits (32).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 52283 + ... + 53445.

It is an arithmetic number, because the mean of its divisors is an integer number (2226150).

Almost surely, 261480832 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 61480832, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (71236800).

61480832 is an abundant number, since it is smaller than the sum of its proper divisors (80992768).

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

61480832 is a wasteful number, since it uses less digits than its factorization.

61480832 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1243 (or 1231 counting only the distinct ones).

The product of its (nonzero) digits is 9216, while the sum is 32.

The square root of 61480832 is about 7840.9713683956. The cubic root of 61480832 is about 394.6813260524.

The spelling of 61480832 in words is "sixty-one million, four hundred eighty thousand, eight hundred thirty-two".

Divisors: 1 2 4 7 8 14 16 28 32 56 59 64 112 118 128 224 236 413 448 472 826 896 944 1163 1652 1888 2326 3304 3776 4652 6608 7552 8141 9304 13216 16282 18608 26432 32564 37216 52864 65128 68617 74432 130256 137234 148864 260512 274468 480319 521024 548936 960638 1042048 1097872 1921276 2195744 3842552 4391488 7685104 8782976 15370208 30740416 61480832