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30792048 = 2437113811
BaseRepresentation
bin111010101110…
…1100101110000
32010221101202020
41311131211300
530340321143
63015551440
7522504510
oct165354560
963841666
1030792048
1116421581
12a38b580
1364c1661
144137840
152a83883
hex1d5d970

30792048 has 80 divisors (see below), whose sum is σ = 91827456. Its totient is φ = 8709120.

The previous prime is 30792037. The next prime is 30792053. The reversal of 30792048 is 84029703.

It is a Smith number, since the sum of its digits (33) coincides with the sum of the digits of its prime factors.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 37563 + ... + 38373.

Almost surely, 230792048 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 30792048, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (45913728).

30792048 is an abundant number, since it is smaller than the sum of its proper divisors (61035408).

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

30792048 is a wasteful number, since it uses less digits than its factorization.

30792048 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 942 (or 936 counting only the distinct ones).

The product of its (nonzero) digits is 12096, while the sum is 33.

The square root of 30792048 is about 5549.0582984863. The cubic root of 30792048 is about 313.4340624790.

The spelling of 30792048 in words is "thirty million, seven hundred ninety-two thousand, forty-eight".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 42 48 56 84 112 113 168 226 336 339 452 678 791 811 904 1356 1582 1622 1808 2373 2433 2712 3164 3244 4746 4866 5424 5677 6328 6488 9492 9732 11354 12656 12976 17031 18984 19464 22708 34062 37968 38928 45416 68124 90832 91643 136248 183286 272496 274929 366572 549858 641501 733144 1099716 1283002 1466288 1924503 2199432 2566004 3849006 4398864 5132008 7698012 10264016 15396024 30792048