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5409792 = 21032587
BaseRepresentation
bin10100101000110000000000
3101011211211200
4110220300000
52341103132
6311541200
763660663
oct24506000
911154750
105409792
113065503
12198a800
13117547b
14a0b6da
1571cd7c
hex528c00

5409792 has 66 divisors (see below), whose sum is σ = 15647268. Its totient is φ = 1800192.

The previous prime is 5409773. The next prime is 5409793. The reversal of 5409792 is 2979045.

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 (5409793) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 8923 + ... + 9509.

Almost surely, 25409792 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 5409792, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7823634).

5409792 is an abundant number, since it is smaller than the sum of its proper divisors (10237476).

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

5409792 is a wasteful number, since it uses less digits than its factorization.

5409792 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 613 (or 592 counting only the distinct ones).

The product of its (nonzero) digits is 22680, while the sum is 36.

The square root of 5409792 is about 2325.8959564005. The cubic root of 5409792 is about 175.5470446360.

The spelling of 5409792 in words is "five million, four hundred nine thousand, seven hundred ninety-two".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 64 72 96 128 144 192 256 288 384 512 576 587 768 1024 1152 1174 1536 1761 2304 2348 3072 3522 4608 4696 5283 7044 9216 9392 10566 14088 18784 21132 28176 37568 42264 56352 75136 84528 112704 150272 169056 225408 300544 338112 450816 601088 676224 901632 1352448 1803264 2704896 5409792