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874007904 = 253731119127
BaseRepresentation
bin110100000110000…
…100110101100000
32020220121012110010
4310012010311200
53242221223104
6222421004520
730441642000
oct6406046540
92226535403
10874007904
1140939a090
12204853740
1310c0c5a53
1484112000
1551ae5489
hex34184d60

874007904 has 384 divisors, whose sum is σ = 3096576000. Its totient is φ = 213373440.

The previous prime is 874007899. The next prime is 874007921. The reversal of 874007904 is 409700478.

It is a congruent number.

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 63 ways as a sum of consecutive naturals, for example, 6881889 + ... + 6882015.

It is an arithmetic number, because the mean of its divisors is an integer number (8064000).

Almost surely, 2874007904 is an apocalyptic number.

874007904 is a gapful number since it is divisible by the number (84) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 874007904, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1548288000).

874007904 is an abundant number, since it is smaller than the sum of its proper divisors (2222568096).

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

874007904 is a wasteful number, since it uses less digits than its factorization.

874007904 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 191 (or 169 counting only the distinct ones).

The product of its (nonzero) digits is 56448, while the sum is 39.

The square root of 874007904 is about 29563.6246762808. The cubic root of 874007904 is about 956.1039667980.

The spelling of 874007904 in words is "eight hundred seventy-four million, seven thousand, nine hundred four".