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472375104 = 26323412609
BaseRepresentation
bin11100001001111…
…101111101000000
31012220212010211020
4130021331331000
51431412000404
6114512345440
714464056615
oct3411757500
91186763736
10472375104
11222709453
12112245280
1376b321c6
1446a4450c
152b70ced9
hex1c27df40

472375104 has 112 divisors (see below), whose sum is σ = 1336487040. Its totient is φ = 146882560.

The previous prime is 472375097. The next prime is 472375109. The reversal of 472375104 is 401573274.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (472375109) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 179752 + ... + 182360.

It is an arithmetic number, because the mean of its divisors is an integer number (11932920).

Almost surely, 2472375104 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 472375104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (668243520).

472375104 is an abundant number, since it is smaller than the sum of its proper divisors (864111936).

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

472375104 is a wasteful number, since it uses less digits than its factorization.

472375104 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2688 (or 2678 counting only the distinct ones).

The product of its (nonzero) digits is 23520, while the sum is 33.

The square root of 472375104 is about 21734.1920484751. The cubic root of 472375104 is about 778.8054825906.

The spelling of 472375104 in words is "four hundred seventy-two million, three hundred seventy-five thousand, one hundred four".

Divisors: 1 2 3 4 6 8 12 16 23 24 32 41 46 48 64 69 82 92 96 123 138 164 184 192 246 276 328 368 492 552 656 736 943 984 1104 1312 1472 1886 1968 2208 2609 2624 2829 3772 3936 4416 5218 5658 7544 7827 7872 10436 11316 15088 15654 20872 22632 30176 31308 41744 45264 60007 60352 62616 83488 90528 106969 120014 125232 166976 180021 181056 213938 240028 250464 320907 360042 427876 480056 500928 641814 720084 855752 960112 1283628 1440168 1711504 1920224 2460287 2567256 2880336 3423008 3840448 4920574 5134512 5760672 6846016 7380861 9841148 10269024 11521344 14761722 19682296 20538048 29523444 39364592 59046888 78729184 118093776 157458368 236187552 472375104