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55994304 = 263594943
BaseRepresentation
bin1101010110011…
…0011111000000
310220100210202010
43111212133000
5103313304204
65320052520
71246641462
oct325463700
9126323663
1055994304
1129675393
1216904140
13b7a6932
147618132
154db0d89
hex35667c0

55994304 has 56 divisors (see below), whose sum is σ = 150693120. Its totient is φ = 18344704.

The previous prime is 55994297. The next prime is 55994321. The reversal of 55994304 is 40349955.

55994304 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a hoax number, since the sum of its digits (39) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 8857 + ... + 13799.

Almost surely, 255994304 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 55994304, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (75346560).

55994304 is an abundant number, since it is smaller than the sum of its proper divisors (94698816).

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

55994304 is a wasteful number, since it uses less digits than its factorization.

55994304 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5017 (or 5007 counting only the distinct ones).

The product of its (nonzero) digits is 97200, while the sum is 39.

The square root of 55994304 is about 7482.9341838613. The cubic root of 55994304 is about 382.5732646194.

The spelling of 55994304 in words is "fifty-five million, nine hundred ninety-four thousand, three hundred four".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 59 64 96 118 177 192 236 354 472 708 944 1416 1888 2832 3776 4943 5664 9886 11328 14829 19772 29658 39544 59316 79088 118632 158176 237264 291637 316352 474528 583274 874911 949056 1166548 1749822 2333096 3499644 4666192 6999288 9332384 13998576 18664768 27997152 55994304