Search a number
-
+
48352590 = 232511132172
BaseRepresentation
bin1011100001110…
…0110101001110
310100222120021200
42320130311032
544334240330
64444210330
71124663436
oct270346516
9110876250
1048352590
1125326020
12142399a6
13a02c600
1465c92c6
1543a1a60
hex2e1cd4e

48352590 has 216 divisors, whose sum is σ = 157756248. Its totient is φ = 10183680.

The previous prime is 48352567. The next prime is 48352609. The reversal of 48352590 is 9525384.

48352590 is a `hidden beast` number, since 48 + 3 + 525 + 90 = 666.

It is a Curzon number.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 107 ways as a sum of consecutive naturals, for example, 2844262 + ... + 2844278.

It is an arithmetic number, because the mean of its divisors is an integer number (730353).

Almost surely, 248352590 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 48352590, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (78878124).

48352590 is an abundant number, since it is smaller than the sum of its proper divisors (109403658).

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

48352590 is a wasteful number, since it uses less digits than its factorization.

48352590 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 84 (or 51 counting only the distinct ones).

The product of its (nonzero) digits is 43200, while the sum is 36.

The square root of 48352590 is about 6953.6026633681. The cubic root of 48352590 is about 364.3118076547.

The spelling of 48352590 in words is "forty-eight million, three hundred fifty-two thousand, five hundred ninety".