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76530942 = 23229271541
BaseRepresentation
bin1001000111111…
…00010011111110
312100000011201100
410203330103332
5124042442232
611332153530
71616334165
oct443742376
9170004640
1076530942
113a221914
12217688a6
1312b173a7
14a2423dc
156abac7c
hex48fc4fe

76530942 has 48 divisors (see below), whose sum is σ = 172486080. Its totient is φ = 24494400.

The previous prime is 76530941. The next prime is 76530943. The reversal of 76530942 is 24903567.

It is an interprime number because it is at equal distance from previous prime (76530941) and next prime (76530943).

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

It is a junction number, because it is equal to n+sod(n) for n = 76530897 and 76530906.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (76530941) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 141192 + ... + 141732.

It is an arithmetic number, because the mean of its divisors is an integer number (3593460).

Almost surely, 276530942 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 76530942, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (86243040).

76530942 is an abundant number, since it is smaller than the sum of its proper divisors (95955138).

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

76530942 is a wasteful number, since it uses less digits than its factorization.

76530942 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 849 (or 846 counting only the distinct ones).

The product of its (nonzero) digits is 45360, while the sum is 36.

The square root of 76530942 is about 8748.1964998507. The cubic root of 76530942 is about 424.5664635577.

The spelling of 76530942 in words is "seventy-six million, five hundred thirty thousand, nine hundred forty-two".

Divisors: 1 2 3 6 9 18 29 58 87 174 261 271 522 541 542 813 1082 1623 1626 2439 3246 4869 4878 7859 9738 15689 15718 23577 31378 47067 47154 70731 94134 141201 141462 146611 282402 293222 439833 879666 1319499 2638998 4251719 8503438 12755157 25510314 38265471 76530942