Search a number
-
+
48026160 = 24325713733
BaseRepresentation
bin1011011100110…
…1001000110000
310100100222111200
42313031020300
544243314120
64433211200
71122133650
oct267151060
9110328450
1048026160
1125122846
1214100b00
139c46b60
146542360
154339e90
hex2dcd230

48026160 has 240 divisors, whose sum is σ = 198778944. Its totient is φ = 10119168.

The previous prime is 48026137. The next prime is 48026171. The reversal of 48026160 is 6162084.

48026160 is a `hidden beast` number, since 48 + 0 + 2 + 616 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (240).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 65154 + ... + 65886.

Almost surely, 248026160 is an apocalyptic number.

48026160 is a gapful number since it is divisible by the number (40) 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 48026160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (99389472).

48026160 is an abundant number, since it is smaller than the sum of its proper divisors (150752784).

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

48026160 is a wasteful number, since it uses less digits than its factorization.

48026160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 772 (or 763 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 27.

The square root of 48026160 is about 6930.0909084946. The cubic root of 48026160 is about 363.4901286243.

The spelling of 48026160 in words is "forty-eight million, twenty-six thousand, one hundred sixty".