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5406007752 = 2332174416673
BaseRepresentation
bin1010000100011100…
…10010000111001000
3111221202100122111100
411002032102013020
542032414222002
62252233301400
7250652210355
oct50216220710
914852318440
105406007752
112324606702
12106a564860
13681cc4872
14393d8b62c
1521990511c
hex1423921c8

5406007752 has 48 divisors (see below), whose sum is σ = 15502525740. Its totient is φ = 1696002048.

The previous prime is 5406007751. The next prime is 5406007823. The reversal of 5406007752 is 2577006045.

5406007752 is a `hidden beast` number, since 5 + 40 + 600 + 7 + 7 + 5 + 2 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 5401368036 + 4639716 = 73494^2 + 2154^2 .

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (5406007751) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 2207113 + ... + 2209560.

Almost surely, 25406007752 is an apocalyptic number.

It is an amenable number.

5406007752 is an abundant number, since it is smaller than the sum of its proper divisors (10096517988).

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

5406007752 is a wasteful number, since it uses less digits than its factorization.

5406007752 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4416702 (or 4416695 counting only the distinct ones).

The product of its (nonzero) digits is 58800, while the sum is 36.

The square root of 5406007752 is about 73525.5584949887. The cubic root of 5406007752 is about 1755.0610230322.

The spelling of 5406007752 in words is "five billion, four hundred six million, seven thousand, seven hundred fifty-two".

Divisors: 1 2 3 4 6 8 9 12 17 18 24 34 36 51 68 72 102 136 153 204 306 408 612 1224 4416673 8833346 13250019 17666692 26500038 35333384 39750057 53000076 75083441 79500114 106000152 150166882 159000228 225250323 300333764 318000456 450500646 600667528 675750969 901001292 1351501938 1802002584 2703003876 5406007752