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53034464 = 2572149227
BaseRepresentation
bin1100101001001…
…1110111100000
310200210102121102
43022103313200
5102034100324
65132413532
71212533300
oct312236740
9120712542
1053034464
1127a3363a
12159172a8
13acab652
147087600
1549c8dae
hex3293de0

53034464 has 72 divisors (see below), whose sum is σ = 122812200. Its totient is φ = 22477056.

The previous prime is 53034463. The next prime is 53034467. The reversal of 53034464 is 46443035.

53034464 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (53034463) 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 11 ways as a sum of consecutive naturals, for example, 233519 + ... + 233745.

It is an arithmetic number, because the mean of its divisors is an integer number (1705725).

Almost surely, 253034464 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 53034464, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (61406100).

53034464 is an abundant number, since it is smaller than the sum of its proper divisors (69777736).

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

53034464 is a wasteful number, since it uses less digits than its factorization.

53034464 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 400 (or 385 counting only the distinct ones).

The product of its (nonzero) digits is 17280, while the sum is 29.

The square root of 53034464 is about 7282.4765018502. The cubic root of 53034464 is about 375.7099770460.

Adding to 53034464 its reverse (46443035), we get a palindrome (99477499).

The spelling of 53034464 in words is "fifty-three million, thirty-four thousand, four hundred sixty-four".

Divisors: 1 2 4 7 8 14 16 28 32 49 56 98 112 149 196 224 227 298 392 454 596 784 908 1043 1192 1568 1589 1816 2086 2384 3178 3632 4172 4768 6356 7264 7301 8344 11123 12712 14602 16688 22246 25424 29204 33376 33823 44492 50848 58408 67646 88984 116816 135292 177968 233632 236761 270584 355936 473522 541168 947044 1082336 1657327 1894088 3314654 3788176 6629308 7576352 13258616 26517232 53034464