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61457022 = 23311157659
BaseRepresentation
bin1110101001110…
…0001001111110
311021122100012000
43222130021332
5111213111042
610033123130
71344242664
oct352341176
9137570160
1061457022
1131766630
12186b94a6
13c96a203
14823ac34
1555de74c
hex3a9c27e

61457022 has 64 divisors (see below), whose sum is σ = 150163200. Its totient is φ = 18476640.

The previous prime is 61457017. The next prime is 61457027. The reversal of 61457022 is 22075416.

It is an interprime number because it is at equal distance from previous prime (61457017) and next prime (61457027).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (61457027) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 92929 + ... + 93587.

It is an arithmetic number, because the mean of its divisors is an integer number (2346300).

Almost surely, 261457022 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 61457022, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (75081600).

61457022 is an abundant number, since it is smaller than the sum of its proper divisors (88706178).

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

61457022 is a wasteful number, since it uses less digits than its factorization.

61457022 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 838 (or 832 counting only the distinct ones).

The product of its (nonzero) digits is 3360, while the sum is 27.

The square root of 61457022 is about 7839.4529145853. The cubic root of 61457022 is about 394.6303693804.

The spelling of 61457022 in words is "sixty-one million, four hundred fifty-seven thousand, twenty-two".

Divisors: 1 2 3 6 9 11 18 22 27 33 54 66 99 157 198 297 314 471 594 659 942 1318 1413 1727 1977 2826 3454 3954 4239 5181 5931 7249 8478 10362 11862 14498 15543 17793 21747 31086 35586 43494 46629 65241 93258 103463 130482 195723 206926 310389 391446 620778 931167 1138093 1862334 2276186 2793501 3414279 5587002 6828558 10242837 20485674 30728511 61457022