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504473472 = 27321492939
BaseRepresentation
bin11110000100011…
…010011110000000
31022011020220111200
4132010122132000
52013121122342
6122020341200
715333645066
oct3604323600
91264226450
10504473472
11239842428
12120b44800
1380690319
144addc036
152e44d94c
hex1e11a780

504473472 has 96 divisors (see below), whose sum is σ = 1461915000. Its totient is φ = 166972416.

The previous prime is 504473461. The next prime is 504473479. The reversal of 504473472 is 274374405.

It is a tau number, because it is divible by the number of its divisors (96).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (504473479) 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, 170179 + ... + 173117.

Almost surely, 2504473472 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 504473472, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (730957500).

504473472 is an abundant number, since it is smaller than the sum of its proper divisors (957441528).

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

504473472 is a wasteful number, since it uses less digits than its factorization.

504473472 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3108 (or 3093 counting only the distinct ones).

The product of its (nonzero) digits is 94080, while the sum is 36.

The square root of 504473472 is about 22460.4869047846. The cubic root of 504473472 is about 796.0605662525.

The spelling of 504473472 in words is "five hundred four million, four hundred seventy-three thousand, four hundred seventy-two".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 64 72 96 128 144 149 192 288 298 384 447 576 596 894 1152 1192 1341 1788 2384 2682 2939 3576 4768 5364 5878 7152 8817 9536 10728 11756 14304 17634 19072 21456 23512 26451 28608 35268 42912 47024 52902 57216 70536 85824 94048 105804 141072 171648 188096 211608 282144 376192 423216 437911 564288 846432 875822 1128576 1313733 1692864 1751644 2627466 3385728 3503288 3941199 5254932 7006576 7882398 10509864 14013152 15764796 21019728 28026304 31529592 42039456 56052608 63059184 84078912 126118368 168157824 252236736 504473472