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472470624 = 2533546841
BaseRepresentation
bin11100001010010…
…101010001100000
31012221000222212000
4130022111101200
51431423024444
6114514404000
714464635243
oct3412252140
91187028760
10472470624
1122277419a
12112290600
1376b66822
1446a6b25a
152b72b469
hex1c295460

472470624 has 48 divisors (see below), whose sum is σ = 1378041840. Its totient is φ = 157489920.

The previous prime is 472470569. The next prime is 472470629. The reversal of 472470624 is 426074274.

It is a happy number.

472470624 is a `hidden beast` number, since 4 + 7 + 24 + 7 + 0 + 624 = 666.

It is a tau number, because it is divible by the number of its divisors (48).

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 (472470629) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 272557 + ... + 274284.

It is an arithmetic number, because the mean of its divisors is an integer number (28709205).

Almost surely, 2472470624 is an apocalyptic number.

It is an amenable number.

472470624 is an abundant number, since it is smaller than the sum of its proper divisors (905571216).

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

472470624 is a wasteful number, since it uses less digits than its factorization.

472470624 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 546860 (or 546846 counting only the distinct ones).

The product of its (nonzero) digits is 75264, while the sum is 36.

The square root of 472470624 is about 21736.3893965856. The cubic root of 472470624 is about 778.8579737043.

The spelling of 472470624 in words is "four hundred seventy-two million, four hundred seventy thousand, six hundred twenty-four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 72 96 108 144 216 288 432 864 546841 1093682 1640523 2187364 3281046 4374728 4921569 6562092 8749456 9843138 13124184 14764707 17498912 19686276 26248368 29529414 39372552 52496736 59058828 78745104 118117656 157490208 236235312 472470624