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52475384 = 231329127137
BaseRepresentation
bin1100100000101…
…1010111111000
310122202000200202
43020023113320
5101413203014
65112421332
71205014313
oct310132770
9118660622
1052475384
1127691595
12156a7848
13ab44030
146d7d97a
1549183de
hex320b5f8

52475384 has 64 divisors (see below), whose sum is σ = 111283200. Its totient is φ = 23030784.

The previous prime is 52475383. The next prime is 52475399. The reversal of 52475384 is 48357425.

It is a happy number.

52475384 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a hoax number, since the sum of its digits (38) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (52475383) 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 15 ways as a sum of consecutive naturals, for example, 382964 + ... + 383100.

It is an arithmetic number, because the mean of its divisors is an integer number (1738800).

Almost surely, 252475384 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 52475384, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (55641600).

52475384 is an abundant number, since it is smaller than the sum of its proper divisors (58807816).

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

52475384 is a wasteful number, since it uses less digits than its factorization.

52475384 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 312 (or 308 counting only the distinct ones).

The product of its digits is 134400, while the sum is 38.

The square root of 52475384 is about 7243.9895085512. The cubic root of 52475384 is about 374.3850876460.

The spelling of 52475384 in words is "fifty-two million, four hundred seventy-five thousand, three hundred eighty-four".

Divisors: 1 2 4 8 13 26 29 52 58 104 116 127 137 232 254 274 377 508 548 754 1016 1096 1508 1651 1781 3016 3302 3562 3683 3973 6604 7124 7366 7946 13208 14248 14732 15892 17399 29464 31784 34798 47879 51649 69596 95758 103298 139192 191516 206596 226187 383032 413192 452374 504571 904748 1009142 1809496 2018284 4036568 6559423 13118846 26237692 52475384