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53405504 = 2619371187
BaseRepresentation
bin1100101110111…
…0011101000000
310201111021120122
43023232131000
5102132434004
65144355412
71215640115
oct313563500
9121437518
1053405504
1128167389
1215a75b68
13b0ab4b9
14714290c
154a4dcbe
hex32ee740

53405504 has 56 divisors (see below), whose sum is σ = 114665760. Its totient is φ = 24592896.

The previous prime is 53405497. The next prime is 53405507. The reversal of 53405504 is 40550435.

53405504 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 (53405507) 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 7 ways as a sum of consecutive naturals, for example, 44399 + ... + 45585.

Almost surely, 253405504 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 53405504, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (57332880).

53405504 is an abundant number, since it is smaller than the sum of its proper divisors (61260256).

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

53405504 is a wasteful number, since it uses less digits than its factorization.

53405504 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1255 (or 1245 counting only the distinct ones).

The product of its (nonzero) digits is 6000, while the sum is 26.

The square root of 53405504 is about 7307.9069506939. The cubic root of 53405504 is about 376.5841230181.

Adding to 53405504 its reverse (40550435), we get a palindrome (93955939).

The spelling of 53405504 in words is "fifty-three million, four hundred five thousand, five hundred four".

Divisors: 1 2 4 8 16 19 32 37 38 64 74 76 148 152 296 304 592 608 703 1184 1187 1216 1406 2368 2374 2812 4748 5624 9496 11248 18992 22496 22553 37984 43919 44992 45106 75968 87838 90212 175676 180424 351352 360848 702704 721696 834461 1405408 1443392 1668922 2810816 3337844 6675688 13351376 26702752 53405504