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364990048 = 2559971993
BaseRepresentation
bin10101110000010…
…100111001100000
3221102210102012221
4111300110321200
51221414140143
6100115000424
712021235633
oct2560247140
9842712187
10364990048
11178033475
12a2299114
135a804157
143668dc1a
152209a2ed
hex15c14e60

364990048 has 48 divisors (see below), whose sum is σ = 738657360. Its totient is φ = 177463296.

The previous prime is 364990009. The next prime is 364990049. The reversal of 364990048 is 840099463.

It is a junction number, because it is equal to n+sod(n) for n = 364989986 and 364990013.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (364990049) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 182140 + ... + 184132.

It is an arithmetic number, because the mean of its divisors is an integer number (15388695).

Almost surely, 2364990048 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 364990048, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (369328680).

364990048 is an abundant number, since it is smaller than the sum of its proper divisors (373667312).

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

364990048 is a wasteful number, since it uses less digits than its factorization.

364990048 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2159 (or 2151 counting only the distinct ones).

The product of its (nonzero) digits is 186624, while the sum is 43.

The square root of 364990048 is about 19104.7127170235. The cubic root of 364990048 is about 714.6504546024.

The spelling of 364990048 in words is "three hundred sixty-four million, nine hundred ninety thousand, forty-eight".

Divisors: 1 2 4 8 16 32 59 97 118 194 236 388 472 776 944 1552 1888 1993 3104 3986 5723 7972 11446 15944 22892 31888 45784 63776 91568 117587 183136 193321 235174 386642 470348 773284 940696 1546568 1881392 3093136 3762784 6186272 11405939 22811878 45623756 91247512 182495024 364990048