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61145392 = 24711311601
BaseRepresentation
bin1110100101000…
…0000100110000
311021001111201011
43221100010300
5111123123032
610022320304
71341504310
oct351200460
9137044634
1061145392
1131573490
1218589094
13c88b409
148199440
15557c247
hex3a50130

61145392 has 80 divisors (see below), whose sum is σ = 152561664. Its totient is φ = 23040000.

The previous prime is 61145389. The next prime is 61145393. The reversal of 61145392 is 29354116.

It is a Harshad number since it is a multiple of its sum of digits (31).

It is not an unprimeable number, because it can be changed into a prime (61145393) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 37392 + ... + 38992.

Almost surely, 261145392 is an apocalyptic number.

61145392 is a gapful number since it is divisible by the number (62) 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 61145392, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (76280832).

61145392 is an abundant number, since it is smaller than the sum of its proper divisors (91416272).

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

61145392 is a wasteful number, since it uses less digits than its factorization.

61145392 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1658 (or 1652 counting only the distinct ones).

The product of its digits is 6480, while the sum is 31.

The square root of 61145392 is about 7819.5519053204. The cubic root of 61145392 is about 393.9622216348.

The spelling of 61145392 in words is "sixty-one million, one hundred forty-five thousand, three hundred ninety-two".

Divisors: 1 2 4 7 8 11 14 16 22 28 31 44 56 62 77 88 112 124 154 176 217 248 308 341 434 496 616 682 868 1232 1364 1601 1736 2387 2728 3202 3472 4774 5456 6404 9548 11207 12808 17611 19096 22414 25616 35222 38192 44828 49631 70444 89656 99262 123277 140888 179312 198524 246554 281776 347417 397048 493108 545941 694834 794096 986216 1091882 1389668 1972432 2183764 2779336 3821587 4367528 5558672 7643174 8735056 15286348 30572696 61145392