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61307376 = 24313195171
BaseRepresentation
bin1110100111011…
…1100111110000
311021100201220120
43221313213300
5111143314001
610030010240
71343050464
oct351674760
9137321816
1061307376
1131674159
1218646980
13c917070
1481dc4a4
1555b0236
hex3a779f0

61307376 has 80 divisors (see below), whose sum is σ = 179571840. Its totient is φ = 17867520.

The previous prime is 61307353. The next prime is 61307381. The reversal of 61307376 is 67370316.

It is a hoax number, since the sum of its digits (33) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 9271 + ... + 14441.

It is an arithmetic number, because the mean of its divisors is an integer number (2244648).

Almost surely, 261307376 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 61307376, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (89785920).

61307376 is an abundant number, since it is smaller than the sum of its proper divisors (118264464).

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

61307376 is a wasteful number, since it uses less digits than its factorization.

61307376 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5214 (or 5208 counting only the distinct ones).

The product of its (nonzero) digits is 15876, while the sum is 33.

The square root of 61307376 is about 7829.9026813876. The cubic root of 61307376 is about 394.3098046912.

The spelling of 61307376 in words is "sixty-one million, three hundred seven thousand, three hundred seventy-six".

Divisors: 1 2 3 4 6 8 12 13 16 19 24 26 38 39 48 52 57 76 78 104 114 152 156 208 228 247 304 312 456 494 624 741 912 988 1482 1976 2964 3952 5171 5928 10342 11856 15513 20684 31026 41368 62052 67223 82736 98249 124104 134446 196498 201669 248208 268892 294747 392996 403338 537784 589494 785992 806676 1075568 1178988 1277237 1571984 1613352 2357976 2554474 3226704 3831711 4715952 5108948 7663422 10217896 15326844 20435792 30653688 61307376