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76903940 = 22529671979
BaseRepresentation
bin1001001010101…
…11011000000100
312100201010101002
410211113120010
5124141411230
611344152432
71622446511
oct445273004
9170633332
1076903940
113a457083
1221908718
1312c180b9
14a2dc308
156b41545
hex4957604

76903940 has 48 divisors (see below), whose sum is σ = 169646400. Its totient is φ = 29242752.

The previous prime is 76903933. The next prime is 76903979. The reversal of 76903940 is 4930967.

It is a junction number, because it is equal to n+sod(n) for n = 76903894 and 76903903.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 37871 + ... + 39849.

It is an arithmetic number, because the mean of its divisors is an integer number (3534300).

Almost surely, 276903940 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 76903940, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (84823200).

76903940 is an abundant number, since it is smaller than the sum of its proper divisors (92742460).

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

76903940 is a wasteful number, since it uses less digits than its factorization.

76903940 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2084 (or 2082 counting only the distinct ones).

The product of its (nonzero) digits is 40824, while the sum is 38.

The square root of 76903940 is about 8769.4891527386. The cubic root of 76903940 is about 425.2550994452.

The spelling of 76903940 in words is "seventy-six million, nine hundred three thousand, nine hundred forty".

Divisors: 1 2 4 5 10 20 29 58 67 116 134 145 268 290 335 580 670 1340 1943 1979 3886 3958 7772 7916 9715 9895 19430 19790 38860 39580 57391 114782 132593 229564 265186 286955 530372 573910 662965 1147820 1325930 2651860 3845197 7690394 15380788 19225985 38451970 76903940