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5407884048 = 243746134913
BaseRepresentation
bin1010000100101010…
…11100001100010000
3111221212212222021210
411002111130030100
542033404242143
62252341420120
7251004153540
oct50225341420
914855788253
105407884048
112325678366
12106b10a640
136825008b8
14394319320
15219b76033
hex14255c310

5407884048 has 80 divisors (see below), whose sum is σ = 16001225856. Its totient is φ = 1541713920.

The previous prime is 5407884047. The next prime is 5407884067. The reversal of 5407884048 is 8404887045.

It is a super-2 number, since 2×54078840482 = 58490419753225732608, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a junction number, because it is equal to n+sod(n) for n = 5407883988 and 5407884006.

It is not an unprimeable number, because it can be changed into a prime (5407884047) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 137440 + ... + 172352.

Almost surely, 25407884048 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 5407884048, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8000612928).

5407884048 is an abundant number, since it is smaller than the sum of its proper divisors (10593341808).

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

5407884048 is a wasteful number, since it uses less digits than its factorization.

5407884048 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 35392 (or 35386 counting only the distinct ones).

The product of its (nonzero) digits is 1146880, while the sum is 48.

The square root of 5407884048 is about 73538.3168695069. The cubic root of 5407884048 is about 1755.2640461148.

The spelling of 5407884048 in words is "five billion, four hundred seven million, eight hundred eighty-four thousand, forty-eight".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 42 48 56 84 112 168 336 461 922 1383 1844 2766 3227 3688 5532 6454 7376 9681 11064 12908 19362 22128 25816 34913 38724 51632 69826 77448 104739 139652 154896 209478 244391 279304 418956 488782 558608 733173 837912 977564 1466346 1675824 1955128 2932692 3910256 5865384 11730768 16094893 32189786 48284679 64379572 96569358 112664251 128759144 193138716 225328502 257518288 337992753 386277432 450657004 675985506 772554864 901314008 1351971012 1802628016 2703942024 5407884048