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61457058 = 232131923601
BaseRepresentation
bin1110101001110…
…0001010100010
311021122100020100
43222130022202
5111213111213
610033123230
71344243045
oct352341242
9137570210
1061457058
1131766663
12186b9516
13c96a230
14823ac5c
1555de773
hex3a9c2a2

61457058 has 96 divisors (see below), whose sum is σ = 157772160. Its totient is φ = 17107200.

The previous prime is 61457041. The next prime is 61457069. The reversal of 61457058 is 85075416.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 101958 + ... + 102558.

It is an arithmetic number, because the mean of its divisors is an integer number (1643460).

Almost surely, 261457058 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 61457058, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (78886080).

61457058 is an abundant number, since it is smaller than the sum of its proper divisors (96315102).

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

61457058 is a wasteful number, since it uses less digits than its factorization.

61457058 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 664 (or 661 counting only the distinct ones).

The product of its (nonzero) digits is 33600, while the sum is 36.

The square root of 61457058 is about 7839.4552106636. The cubic root of 61457058 is about 394.6304464353.

It can be divided in two parts, 6145 and 7058, that added together give a triangular number (13203 = T162).

The spelling of 61457058 in words is "sixty-one million, four hundred fifty-seven thousand, fifty-eight".

Divisors: 1 2 3 6 9 13 18 19 23 26 38 39 46 57 69 78 114 117 138 171 207 234 247 299 342 414 437 494 598 601 741 874 897 1202 1311 1482 1794 1803 2223 2622 2691 3606 3933 4446 5382 5409 5681 7813 7866 10818 11362 11419 13823 15626 17043 22838 23439 27646 34086 34257 41469 46878 51129 68514 70317 82938 102258 102771 124407 140634 148447 179699 205542 248814 262637 296894 359398 445341 525274 539097 787911 890682 1078194 1336023 1575822 1617291 2363733 2672046 3234582 3414281 4727466 6828562 10242843 20485686 30728529 61457058