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76423820 = 22511383907
BaseRepresentation
bin1001000111000…
…10001010001100
312022210201202212
410203202022030
5124031030240
611330005552
71615406654
oct443421214
9168721685
1076423820
113a159390
12217168b8
1312aaa6c5
14a215364
156a99165
hex48e228c

76423820 has 48 divisors (see below), whose sum is σ = 175730688. Its totient is φ = 27687360.

The previous prime is 76423817. The next prime is 76423829. The reversal of 76423820 is 2832467.

It is not an unprimeable number, because it can be changed into a prime (76423829) 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, 83807 + ... + 84713.

It is an arithmetic number, because the mean of its divisors is an integer number (3661056).

Almost surely, 276423820 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 76423820, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (87865344).

76423820 is an abundant number, since it is smaller than the sum of its proper divisors (99306868).

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

76423820 is a wasteful number, since it uses less digits than its factorization.

76423820 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1310 (or 1308 counting only the distinct ones).

The product of its (nonzero) digits is 16128, while the sum is 32.

The square root of 76423820 is about 8742.0718368131. The cubic root of 76423820 is about 424.3682794681.

The spelling of 76423820 in words is "seventy-six million, four hundred twenty-three thousand, eight hundred twenty".

Divisors: 1 2 4 5 10 11 20 22 44 55 110 220 383 766 907 1532 1814 1915 3628 3830 4213 4535 7660 8426 9070 9977 16852 18140 19954 21065 39908 42130 49885 84260 99770 199540 347381 694762 1389524 1736905 3473810 3821191 6947620 7642382 15284764 19105955 38211910 76423820