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61723904 = 281123953
BaseRepresentation
bin1110101101110…
…1010100000000
311022010220021112
43223131110000
5111300131104
610042542452
71346434034
oct353352400
9138126245
1061723904
11319290a0
1218807a28
13ca31828
1482aa1c4
15564386e
hex3add500

61723904 has 72 divisors (see below), whose sum is σ = 140398272. Its totient is φ = 26808320.

The previous prime is 61723891. The next prime is 61723931. The reversal of 61723904 is 40932716.

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, 64292 + ... + 65244.

It is an arithmetic number, because the mean of its divisors is an integer number (1949976).

Almost surely, 261723904 is an apocalyptic number.

61723904 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 61723904, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (70199136).

61723904 is an abundant number, since it is smaller than the sum of its proper divisors (78674368).

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

61723904 is a wasteful number, since it uses less digits than its factorization.

61723904 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1003 (or 989 counting only the distinct ones).

The product of its (nonzero) digits is 9072, while the sum is 32.

The square root of 61723904 is about 7856.4561985669. The cubic root of 61723904 is about 395.2007823967.

The spelling of 61723904 in words is "sixty-one million, seven hundred twenty-three thousand, nine hundred four".

Divisors: 1 2 4 8 11 16 22 23 32 44 46 64 88 92 128 176 184 253 256 352 368 506 704 736 953 1012 1408 1472 1906 2024 2816 2944 3812 4048 5888 7624 8096 10483 15248 16192 20966 21919 30496 32384 41932 43838 60992 64768 83864 87676 121984 167728 175352 241109 243968 335456 350704 482218 670912 701408 964436 1341824 1402816 1928872 2683648 2805632 3857744 5611264 7715488 15430976 30861952 61723904