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42997764 = 22323433623
BaseRepresentation
bin1010010000000…
…1100000000100
32222220111211210
42210001200010
542001412024
64133331420
71031321625
oct244014004
988814753
1042997764
11222a8947
1212496b70
138ba6184
1459d3a4c
153b95129
hex2901804

42997764 has 48 divisors (see below), whose sum is σ = 107154432. Its totient is φ = 13386912.

The previous prime is 42997763. The next prime is 42997771. The reversal of 42997764 is 46779924.

It is not an unprimeable number, because it can be changed into a prime (42997763) 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, 10057 + ... + 13679.

It is an arithmetic number, because the mean of its divisors is an integer number (2232384).

Almost surely, 242997764 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 42997764, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (53577216).

42997764 is an abundant number, since it is smaller than the sum of its proper divisors (64156668).

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

42997764 is a wasteful number, since it uses less digits than its factorization.

42997764 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3696 (or 3694 counting only the distinct ones).

The product of its digits is 762048, while the sum is 48.

The square root of 42997764 is about 6557.2680286839. The cubic root of 42997764 is about 350.3337333768. Note that the first 3 decimals are identical.

The spelling of 42997764 in words is "forty-two million, nine hundred ninety-seven thousand, seven hundred sixty-four".

Divisors: 1 2 3 4 6 12 23 43 46 69 86 92 129 138 172 258 276 516 989 1978 2967 3623 3956 5934 7246 10869 11868 14492 21738 43476 83329 155789 166658 249987 311578 333316 467367 499974 623156 934734 999948 1869468 3583147 7166294 10749441 14332588 21498882 42997764