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61331904 = 263411831
BaseRepresentation
bin1110100111110…
…1100111000000
311021101222120000
43221331213000
5111200110104
610030320000
71343212134
oct351754700
9137358500
1061331904
1131690627
1218659000
13c92528a
1482073c4
1555b7639
hex3a7d9c0

61331904 has 70 divisors (see below), whose sum is σ = 181822344. Its totient is φ = 20442240.

The previous prime is 61331873. The next prime is 61331927. The reversal of 61331904 is 40913316.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 9 ways as a sum of consecutive naturals, for example, 732 + ... + 11099.

Almost surely, 261331904 is an apocalyptic number.

61331904 is a gapful number since it is divisible by the number (64) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 61331904, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (90911172).

61331904 is an abundant number, since it is smaller than the sum of its proper divisors (120490440).

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

61331904 is a wasteful number, since it uses less digits than its factorization.

61331904 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11855 (or 11836 counting only the distinct ones).

The product of its (nonzero) digits is 1944, while the sum is 27.

The square root of 61331904 is about 7831.4688277487. The cubic root of 61331904 is about 394.3623831464.

The spelling of 61331904 in words is "sixty-one million, three hundred thirty-one thousand, nine hundred four".

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 11831 23662 35493 47324 70986 94648 106479 141972 189296 212958 283944 319437 378592 425916 567888 638874 757184 851832 958311 1135776 1277748 1703664 1916622 2271552 2555496 3407328 3833244 5110992 6814656 7666488 10221984 15332976 20443968 30665952 61331904