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52364880 = 243458081
BaseRepresentation
bin1100011111000…
…0011001010000
310122112102010000
43013300121100
5101401134010
65110210000
71204044201
oct307603120
9118472100
1052364880
1127616567
1215653900
13ab05949
146d515a8
1548e57c0
hex31f0650

52364880 has 100 divisors (see below), whose sum is σ = 181893492. Its totient is φ = 13962240.

The previous prime is 52364863. The next prime is 52364881. The reversal of 52364880 is 8846325.

52364880 is a `hidden beast` number, since 5 + 2 + 3 + 648 + 8 + 0 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 18352656 + 34012224 = 4284^2 + 5832^2 .

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (52364881) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 2440 + ... + 10520.

Almost surely, 252364880 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 52364880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (90946746).

52364880 is an abundant number, since it is smaller than the sum of its proper divisors (129528612).

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

52364880 is a wasteful number, since it uses less digits than its factorization.

52364880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8106 (or 8091 counting only the distinct ones).

The product of its (nonzero) digits is 46080, while the sum is 36.

The square root of 52364880 is about 7236.3582000893. The cubic root of 52364880 is about 374.1221064114.

The spelling of 52364880 in words is "fifty-two million, three hundred sixty-four thousand, eight hundred eighty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 27 30 36 40 45 48 54 60 72 80 81 90 108 120 135 144 162 180 216 240 270 324 360 405 432 540 648 720 810 1080 1296 1620 2160 3240 6480 8081 16162 24243 32324 40405 48486 64648 72729 80810 96972 121215 129296 145458 161620 193944 218187 242430 290916 323240 363645 387888 436374 484860 581832 646480 654561 727290 872748 969720 1090935 1163664 1309122 1454580 1745496 1939440 2181870 2618244 2909160 3272805 3490992 4363740 5236488 5818320 6545610 8727480 10472976 13091220 17454960 26182440 52364880