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472118328 = 233311434621
BaseRepresentation
bin11100001000111…
…111010000111000
31012220101002121000
4130020333100320
51431330241303
6114503045000
714461640163
oct3410772070
91186332530
10472118328
11222553540
12112140760
1376a72376
14469b8ada
152b6abda3
hex1c23f438

472118328 has 128 divisors (see below), whose sum is σ = 1464249600. Its totient is φ = 139708800.

The previous prime is 472118293. The next prime is 472118341. The reversal of 472118328 is 823811274.

472118328 is a `hidden beast` number, since 472 + 1 + 183 + 2 + 8 = 666.

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

It is a junction number, because it is equal to n+sod(n) for n = 472118292 and 472118301.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 99858 + ... + 104478.

It is an arithmetic number, because the mean of its divisors is an integer number (11439450).

Almost surely, 2472118328 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 472118328, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (732124800).

472118328 is an abundant number, since it is smaller than the sum of its proper divisors (992131272).

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

472118328 is a wasteful number, since it uses less digits than its factorization.

472118328 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4690 (or 4680 counting only the distinct ones).

The product of its digits is 21504, while the sum is 36.

The square root of 472118328 is about 21728.2840555806. The cubic root of 472118328 is about 778.6643413655.

The spelling of 472118328 in words is "four hundred seventy-two million, one hundred eighteen thousand, three hundred twenty-eight".

Divisors: 1 2 3 4 6 8 9 11 12 18 22 24 27 33 36 43 44 54 66 72 86 88 99 108 129 132 172 198 216 258 264 297 344 387 396 473 516 594 774 792 946 1032 1161 1188 1419 1548 1892 2322 2376 2838 3096 3784 4257 4621 4644 5676 8514 9242 9288 11352 12771 13863 17028 18484 25542 27726 34056 36968 41589 50831 51084 55452 83178 101662 102168 110904 124767 152493 166356 198703 203324 249534 304986 332712 397406 406648 457479 499068 596109 609972 794812 914958 998136 1192218 1219944 1372437 1589624 1788327 1829916 2185733 2384436 2744874 3576654 3659832 4371466 4768872 5364981 5489748 6557199 7153308 8742932 10729962 10979496 13114398 14306616 17485864 19671597 21459924 26228796 39343194 42919848 52457592 59014791 78686388 118029582 157372776 236059164 472118328