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52416896 = 277193079
BaseRepresentation
bin1100011111110…
…1000110000000
310122122001110112
43013331012000
5101404320041
65111250452
71204351640
oct307750600
9118561415
1052416896
1127651654
1215679a28
13ab2351c
146d66520
154905deb
hex31fd180

52416896 has 64 divisors (see below), whose sum is σ = 125664000. Its totient is φ = 21275136.

The previous prime is 52416893. The next prime is 52416911. The reversal of 52416896 is 69861425.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (64).

It is a super-3 number, since 3×524168963 (a number of 24 digits) contains 333 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (52416893) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 15485 + ... + 18563.

It is an arithmetic number, because the mean of its divisors is an integer number (1963500).

Almost surely, 252416896 is an apocalyptic number.

52416896 is a gapful number since it is divisible by the number (56) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 52416896, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (62832000).

52416896 is an abundant number, since it is smaller than the sum of its proper divisors (73247104).

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

52416896 is a wasteful number, since it uses less digits than its factorization.

52416896 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3119 (or 3107 counting only the distinct ones).

The product of its digits is 103680, while the sum is 41.

The square root of 52416896 is about 7239.9513810522. The cubic root of 52416896 is about 374.2459419253.

The spelling of 52416896 in words is "fifty-two million, four hundred sixteen thousand, eight hundred ninety-six".

Divisors: 1 2 4 7 8 14 16 19 28 32 38 56 64 76 112 128 133 152 224 266 304 448 532 608 896 1064 1216 2128 2432 3079 4256 6158 8512 12316 17024 21553 24632 43106 49264 58501 86212 98528 117002 172424 197056 234004 344848 394112 409507 468008 689696 819014 936016 1379392 1638028 1872032 2758784 3276056 3744064 6552112 7488128 13104224 26208448 52416896