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33290496 = 283214449
BaseRepresentation
bin111111011111…
…1100100000000
32022122022222100
41332333210000
532010243441
63145310400
7552651561
oct176774400
968568870
1033290496
1117878708
12b195400
136b87925
1445c8168
152dc8cb6
hex1fbf900

33290496 has 54 divisors (see below), whose sum is σ = 95991350. Its totient is φ = 11096064.

The previous prime is 33290479. The next prime is 33290501. The reversal of 33290496 is 69409233.

It is a happy number.

It can be written as a sum of positive squares in only one way, i.e., 33177600 + 112896 = 5760^2 + 336^2 .

It is a super-2 number, since 2×332904962 = 2216514247852032, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a self number, because there is not a number n which added to its sum of digits gives 33290496.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 4921 + ... + 9528.

Almost surely, 233290496 is an apocalyptic number.

33290496 is a gapful number since it is divisible by the number (36) formed by its first and last digit.

It is an amenable number.

33290496 is an abundant number, since it is smaller than the sum of its proper divisors (62700854).

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

33290496 is a wasteful number, since it uses less digits than its factorization.

33290496 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 14471 (or 14454 counting only the distinct ones).

The product of its (nonzero) digits is 34992, while the sum is 36.

The square root of 33290496 is about 5769.7916773485. The cubic root of 33290496 is about 321.6918724674.

The spelling of 33290496 in words is "thirty-three million, two hundred ninety thousand, four hundred ninety-six".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 64 72 96 128 144 192 256 288 384 576 768 1152 2304 14449 28898 43347 57796 86694 115592 130041 173388 231184 260082 346776 462368 520164 693552 924736 1040328 1387104 1849472 2080656 2774208 3698944 4161312 5548416 8322624 11096832 16645248 33290496