Search a number
-
+
48292566 = 2371973829
BaseRepresentation
bin1011100000111…
…0001011010110
310100212111221120
42320032023112
544330330231
64443024410
71124323440
oct270161326
9110774846
1048292566
1125294a13
121420b106
13a00b1aa
1465b1490
15438dd96
hex2e0e2d6

48292566 has 64 divisors (see below), whose sum is σ = 117926400. Its totient is φ = 12877056.

The previous prime is 48292549. The next prime is 48292583. The reversal of 48292566 is 66529284.

48292566 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (48292549) and next prime (48292583).

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a congruent number.

It is an unprimeable number.

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 31 ways as a sum of consecutive naturals, for example, 57840 + ... + 58668.

It is an arithmetic number, because the mean of its divisors is an integer number (1842600).

Almost surely, 248292566 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 48292566, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (58963200).

48292566 is an abundant number, since it is smaller than the sum of its proper divisors (69633834).

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

48292566 is a wasteful number, since it uses less digits than its factorization.

48292566 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 933.

The product of its digits is 207360, while the sum is 42.

The square root of 48292566 is about 6949.2852869917. The cubic root of 48292566 is about 364.1609952797.

The spelling of 48292566 in words is "forty-eight million, two hundred ninety-two thousand, five hundred sixty-six".

Divisors: 1 2 3 6 7 14 19 21 38 42 57 73 114 133 146 219 266 399 438 511 798 829 1022 1387 1533 1658 2487 2774 3066 4161 4974 5803 8322 9709 11606 15751 17409 19418 29127 31502 34818 47253 58254 60517 94506 110257 121034 181551 220514 330771 363102 423619 661542 847238 1149823 1270857 2299646 2541714 3449469 6898938 8048761 16097522 24146283 48292566