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52355106 = 2331039413
BaseRepresentation
bin1100011110111…
…0000000100010
310122111220201000
43013232000202
5101400330411
65110052430
71204003536
oct307560042
9118456630
1052355106
112760a191
121564a116
13ab0136b
146d4bbc6
1548e2956
hex31ee022

52355106 has 32 divisors (see below), whose sum is σ = 117486720. Its totient is φ = 17280432.

The previous prime is 52355099. The next prime is 52355113. The reversal of 52355106 is 60155325.

It is an interprime number because it is at equal distance from previous prime (52355099) and next prime (52355113).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a self number, because there is not a number n which added to its sum of digits gives 52355106.

It is a congruent number.

It is an unprimeable number.

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 15 ways as a sum of consecutive naturals, for example, 856 + ... + 10268.

It is an arithmetic number, because the mean of its divisors is an integer number (3671460).

Almost surely, 252355106 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 52355106, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (58743360).

52355106 is an abundant number, since it is smaller than the sum of its proper divisors (65131614).

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

52355106 is a wasteful number, since it uses less digits than its factorization.

52355106 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9527 (or 9521 counting only the distinct ones).

The product of its (nonzero) digits is 4500, while the sum is 27.

The square root of 52355106 is about 7235.6828288697. The cubic root of 52355106 is about 374.0988281060.

The spelling of 52355106 in words is "fifty-two million, three hundred fifty-five thousand, one hundred six".

Divisors: 1 2 3 6 9 18 27 54 103 206 309 618 927 1854 2781 5562 9413 18826 28239 56478 84717 169434 254151 508302 969539 1939078 2908617 5817234 8725851 17451702 26177553 52355106