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33130496 = 21172311
BaseRepresentation
bin111111001100…
…0100000000000
32022100012111102
41332120200000
531440133441
63142033532
7551414240
oct176304000
968305442
1033130496
1117779483
12b1188a8
136b2cb59
144585b20
152d9669b
hex1f98800

33130496 has 48 divisors (see below), whose sum is σ = 75741120. Its totient is φ = 14192640.

The previous prime is 33130477. The next prime is 33130523. The reversal of 33130496 is 69403133.

It is an unprimeable number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 13181 + ... + 15491.

It is an arithmetic number, because the mean of its divisors is an integer number (1577940).

Almost surely, 233130496 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 33130496, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (37870560).

33130496 is an abundant number, since it is smaller than the sum of its proper divisors (42610624).

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

33130496 is an equidigital number, since it uses as much as digits as its factorization.

33130496 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2340 (or 2320 counting only the distinct ones).

The product of its (nonzero) digits is 5832, while the sum is 29.

The square root of 33130496 is about 5755.9096587768. The cubic root of 33130496 is about 321.1756752964.

The spelling of 33130496 in words is "thirty-three million, one hundred thirty thousand, four hundred ninety-six".

Divisors: 1 2 4 7 8 14 16 28 32 56 64 112 128 224 256 448 512 896 1024 1792 2048 2311 3584 4622 7168 9244 14336 16177 18488 32354 36976 64708 73952 129416 147904 258832 295808 517664 591616 1035328 1183232 2070656 2366464 4141312 4732928 8282624 16565248 33130496