Search a number
-
+
48648978 = 2337179719
BaseRepresentation
bin1011100110010…
…1001100010010
310101112121212000
42321211030102
544423231403
64454414430
71130336520
oct271451422
9111477760
1048648978
1125508774
1214361416
13a1044a1
146665310
15440e7a3
hex2e65312

48648978 has 64 divisors (see below), whose sum is σ = 124416000. Its totient is φ = 13802832.

The previous prime is 48648967. The next prime is 48648991. The reversal of 48648978 is 87984684.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a Curzon number.

It is a nialpdrome in base 14.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 67303 + ... + 68021.

It is an arithmetic number, because the mean of its divisors is an integer number (1944000).

Almost surely, 248648978 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 48648978, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (62208000).

48648978 is an abundant number, since it is smaller than the sum of its proper divisors (75767022).

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

48648978 is a wasteful number, since it uses less digits than its factorization.

48648978 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 916 (or 910 counting only the distinct ones).

The product of its digits is 3096576, while the sum is 54.

The square root of 48648978 is about 6974.8819344846. The cubic root of 48648978 is about 365.0546687365.

The spelling of 48648978 in words is "forty-eight million, six hundred forty-eight thousand, nine hundred seventy-eight".

Divisors: 1 2 3 6 7 9 14 18 21 27 42 54 63 126 179 189 358 378 537 719 1074 1253 1438 1611 2157 2506 3222 3759 4314 4833 5033 6471 7518 9666 10066 11277 12942 15099 19413 22554 30198 33831 38826 45297 67662 90594 128701 135891 257402 271782 386103 772206 900907 1158309 1801814 2316618 2702721 3474927 5405442 6949854 8108163 16216326 24324489 48648978