Search a number
-
+
48364608 = 2631092311
BaseRepresentation
bin1011100001111…
…1110001000000
310101000011202210
42320133301000
544340131413
64444342120
71125043455
oct270376100
9111004683
1048364608
1125334056
1214244940
13a034c16
1465cd82c
1543a53c3
hex2e1fc40

48364608 has 56 divisors (see below), whose sum is σ = 129194560. Its totient is φ = 15966720.

The previous prime is 48364597. The next prime is 48364621. The reversal of 48364608 is 80646384.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 19773 + ... + 22083.

Almost surely, 248364608 is an apocalyptic number.

48364608 is a gapful number since it is divisible by the number (48) 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 48364608, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (64597280).

48364608 is an abundant number, since it is smaller than the sum of its proper divisors (80829952).

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

48364608 is a wasteful number, since it uses less digits than its factorization.

48364608 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2435 (or 2425 counting only the distinct ones).

The product of its (nonzero) digits is 110592, while the sum is 39.

The square root of 48364608 is about 6954.4667660432. The cubic root of 48364608 is about 364.3419882966.

The spelling of 48364608 in words is "forty-eight million, three hundred sixty-four thousand, six hundred eight".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 64 96 109 192 218 327 436 654 872 1308 1744 2311 2616 3488 4622 5232 6933 6976 9244 10464 13866 18488 20928 27732 36976 55464 73952 110928 147904 221856 251899 443712 503798 755697 1007596 1511394 2015192 3022788 4030384 6045576 8060768 12091152 16121536 24182304 48364608