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3008992 = 257219101
BaseRepresentation
bin1011011110100111100000
312122212120011
423132213200
51232241432
6144254304
734401400
oct13364740
95585504
103008992
111775778
121011394
1381478c
14584800
153e6847
hex2de9e0

3008992 has 72 divisors (see below), whose sum is σ = 7325640. Its totient is φ = 1209600.

The previous prime is 3008981. The next prime is 3009023. The reversal of 3008992 is 2998003.

It is a happy number.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 29742 + ... + 29842.

It is an arithmetic number, because the mean of its divisors is an integer number (101745).

Almost surely, 23008992 is an apocalyptic number.

3008992 is a gapful number since it is divisible by the number (32) 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 3008992, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3662820).

3008992 is an abundant number, since it is smaller than the sum of its proper divisors (4316648).

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

3008992 is a wasteful number, since it uses less digits than its factorization.

3008992 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 144 (or 129 counting only the distinct ones).

The product of its (nonzero) digits is 3888, while the sum is 31.

The square root of 3008992 is about 1734.6446321942. The cubic root of 3008992 is about 144.3689100584.

The spelling of 3008992 in words is "three million, eight thousand, nine hundred ninety-two".

Divisors: 1 2 4 7 8 14 16 19 28 32 38 49 56 76 98 101 112 133 152 196 202 224 266 304 392 404 532 608 707 784 808 931 1064 1414 1568 1616 1862 1919 2128 2828 3232 3724 3838 4256 4949 5656 7448 7676 9898 11312 13433 14896 15352 19796 22624 26866 29792 30704 39592 53732 61408 79184 94031 107464 158368 188062 214928 376124 429856 752248 1504496 3008992