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8400044448 = 253229166821
BaseRepresentation
bin1111101001010111…
…01000000110100000
3210200102011110201100
413310223220012200
5114200402410243
63505310034400
7415106125335
oct76453500640
923612143640
108400044448
1136206737a4
1217651a8a00
13a3b39ba03
1459988098c
153426bc0d3
hex1f4ae81a0

8400044448 has 36 divisors (see below), whose sum is σ = 23887627218. Its totient is φ = 2800014720.

The previous prime is 8400044377. The next prime is 8400044459. The reversal of 8400044448 is 8444400048.

It is a happy number.

It can be written as a sum of positive squares in only one way, i.e., 8141091984 + 258952464 = 90228^2 + 16092^2 .

It is a tau number, because it is divible by the number of its divisors (36).

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

It is an unprimeable number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 14583123 + ... + 14583698.

Almost surely, 28400044448 is an apocalyptic number.

It is an amenable number.

8400044448 is an abundant number, since it is smaller than the sum of its proper divisors (15487582770).

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

8400044448 is a wasteful number, since it uses less digits than its factorization.

8400044448 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 29166837 (or 29166826 counting only the distinct ones).

The product of its (nonzero) digits is 65536, while the sum is 36.

The square root of 8400044448 is about 91651.7563825157. The cubic root of 8400044448 is about 2032.7962990825.

Subtracting 8400044448 from its reverse (8444400048), we obtain a square (44355600 = 66602).

The spelling of 8400044448 in words is "eight billion, four hundred million, forty-four thousand, four hundred forty-eight".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 72 96 144 288 29166821 58333642 87500463 116667284 175000926 233334568 262501389 350001852 466669136 525002778 700003704 933338272 1050005556 1400007408 2100011112 2800014816 4200022224 8400044448