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65145942 = 23231313373
BaseRepresentation
bin1111100010000…
…0110001010110
311112120202102200
43320200301112
5113134132232
610244145330
71420505601
oct370406126
9145522380
1065145942
1133856124
1219998246
131065c2c4
14891b338
155abc77c
hex3e20c56

65145942 has 48 divisors (see below), whose sum is σ = 146560128. Its totient is φ = 20891520.

The previous prime is 65145917. The next prime is 65145967. The reversal of 65145942 is 24954156.

65145942 is a `hidden beast` number, since 65 + 1 + 4 + 594 + 2 = 666.

It is an interprime number because it is at equal distance from previous prime (65145917) and next prime (65145967).

It is a junction number, because it is equal to n+sod(n) for n = 65145897 and 65145906.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 174468 + ... + 174840.

It is an arithmetic number, because the mean of its divisors is an integer number (3053336).

Almost surely, 265145942 is an apocalyptic number.

65145942 is a gapful number since it is divisible by the number (62) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 65145942, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (73280064).

65145942 is an abundant number, since it is smaller than the sum of its proper divisors (81414186).

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

65145942 is a wasteful number, since it uses less digits than its factorization.

65145942 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 725 (or 722 counting only the distinct ones).

The product of its digits is 43200, while the sum is 36.

The square root of 65145942 is about 8071.3036121806. The cubic root of 65145942 is about 402.3732702886.

The spelling of 65145942 in words is "sixty-five million, one hundred forty-five thousand, nine hundred forty-two".

Divisors: 1 2 3 6 9 18 31 62 93 186 279 313 373 558 626 746 939 1119 1878 2238 2817 3357 5634 6714 9703 11563 19406 23126 29109 34689 58218 69378 87327 104067 116749 174654 208134 233498 350247 700494 1050741 2101482 3619219 7238438 10857657 21715314 32572971 65145942