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2987904 = 27331251
BaseRepresentation
bin1011011001011110000000
312121210122010
423121132000
51231103104
6144012520
734253043
oct13313600
95553563
102987904
111760947
121001140
13807cba
1457ac5a
153e0489
hex2d9780

2987904 has 64 divisors (see below), whose sum is σ = 8225280. Its totient is φ = 960000.

The previous prime is 2987863. The next prime is 2987911. The reversal of 2987904 is 4097892.

It is a tau number, because it is divible by the number of its divisors (64).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 11779 + ... + 12029.

It is an arithmetic number, because the mean of its divisors is an integer number (128520).

22987904 is an apocalyptic number.

2987904 is a gapful number since it is divisible by the number (24) 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 2987904, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4112640).

2987904 is an abundant number, since it is smaller than the sum of its proper divisors (5237376).

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

2987904 is a wasteful number, since it uses less digits than its factorization.

2987904 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 299 (or 287 counting only the distinct ones).

The product of its (nonzero) digits is 36288, while the sum is 39.

The square root of 2987904 is about 1728.5554662781. Note that the first 3 decimals coincide. The cubic root of 2987904 is about 144.0308575846.

The spelling of 2987904 in words is "two million, nine hundred eighty-seven thousand, nine hundred four".

Divisors: 1 2 3 4 6 8 12 16 24 31 32 48 62 64 93 96 124 128 186 192 248 251 372 384 496 502 744 753 992 1004 1488 1506 1984 2008 2976 3012 3968 4016 5952 6024 7781 8032 11904 12048 15562 16064 23343 24096 31124 32128 46686 48192 62248 93372 96384 124496 186744 248992 373488 497984 746976 995968 1493952 2987904