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53994304 = 2671373127
BaseRepresentation
bin1100110111111…
…0001101000000
310202121012021001
43031332031000
5102310304204
65205141344
71223641540
oct315761500
9122535231
1053994304
11285297a1
12160ba854
13b2564c0
147257320
154b184a4
hex337e340

53994304 has 112 divisors (see below), whose sum is σ = 134729728. Its totient is φ = 20901888.

The previous prime is 53994301. The next prime is 53994313. The reversal of 53994304 is 40349935.

53994304 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (112).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (53994301) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 425089 + ... + 425215.

It is an arithmetic number, because the mean of its divisors is an integer number (1202944).

Almost surely, 253994304 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 53994304, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (67364864).

53994304 is an abundant number, since it is smaller than the sum of its proper divisors (80735424).

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

53994304 is a wasteful number, since it uses less digits than its factorization.

53994304 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 232 (or 222 counting only the distinct ones).

The product of its (nonzero) digits is 58320, while the sum is 37.

The square root of 53994304 is about 7348.0816544184. The cubic root of 53994304 is about 377.9630246673.

The spelling of 53994304 in words is "fifty-three million, nine hundred ninety-four thousand, three hundred four".

Divisors: 1 2 4 7 8 13 14 16 26 28 32 52 56 64 73 91 104 112 127 146 182 208 224 254 292 364 416 448 508 511 584 728 832 889 949 1016 1022 1168 1456 1651 1778 1898 2032 2044 2336 2912 3302 3556 3796 4064 4088 4672 5824 6604 6643 7112 7592 8128 8176 9271 11557 13208 13286 14224 15184 16352 18542 23114 26416 26572 28448 30368 32704 37084 46228 52832 53144 56896 60736 64897 74168 92456 105664 106288 120523 129794 148336 184912 212576 241046 259588 296672 369824 425152 482092 519176 593344 739648 843661 964184 1038352 1687322 1928368 2076704 3374644 3856736 4153408 6749288 7713472 13498576 26997152 53994304