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472081624 = 237233131171
BaseRepresentation
bin11100001000110…
…110010011011000
31012220022020020121
4130020312103120
51431323102444
6114502203024
714461425160
oct3410662330
91186266217
10472081624
11222528a03
12112123474
1376a5b751
14469a95a0
152b6a1084
hex1c2364d8

472081624 has 64 divisors (see below), whose sum is σ = 1059863040. Its totient is φ = 192741120.

The previous prime is 472081591. The next prime is 472081681. The reversal of 472081624 is 426180274.

It is a happy number.

It is a super-2 number, since 2×4720816242 = 445722119436954752, which contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 472081624.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 402559 + ... + 403729.

It is an arithmetic number, because the mean of its divisors is an integer number (16560360).

Almost surely, 2472081624 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 472081624, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (529931520).

472081624 is an abundant number, since it is smaller than the sum of its proper divisors (587781416).

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

472081624 is a wasteful number, since it uses less digits than its factorization.

472081624 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1520 (or 1516 counting only the distinct ones).

The product of its (nonzero) digits is 21504, while the sum is 34.

The square root of 472081624 is about 21727.4394257584. The cubic root of 472081624 is about 778.6441622176.

The spelling of 472081624 in words is "four hundred seventy-two million, eighty-one thousand, six hundred twenty-four".

Divisors: 1 2 4 7 8 14 23 28 46 56 92 161 184 313 322 626 644 1171 1252 1288 2191 2342 2504 4382 4684 7199 8197 8764 9368 14398 16394 17528 26933 28796 32788 50393 53866 57592 65576 100786 107732 188531 201572 215464 366523 377062 403144 733046 754124 1466092 1508248 2565661 2932184 5131322 8430029 10262644 16860058 20525288 33720116 59010203 67440232 118020406 236040812 472081624