Search a number
-
+
472830372 = 2235769493
BaseRepresentation
bin11100001011101…
…101000110100100
31012221201021100000
4130023231012210
51432021032442
6114530221300
714500664130
oct3413550644
91187637300
10472830372
1122299a503
12112424830
1376c614b1
1446b223c0
152b79cd4c
hex1c2ed1a4

472830372 has 72 divisors (see below), whose sum is σ = 1416565696. Its totient is φ = 135092448.

The previous prime is 472830361. The next prime is 472830373. The reversal of 472830372 is 273038274.

472830372 is a `hidden beast` number, since 4 + 7 + 283 + 0 + 372 = 666.

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

It is not an unprimeable number, because it can be changed into a prime (472830373) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 27943 + ... + 41550.

Almost surely, 2472830372 is an apocalyptic number.

472830372 is a gapful number since it is divisible by the number (42) formed by its first and last digit.

It is an amenable number.

472830372 is an abundant number, since it is smaller than the sum of its proper divisors (943735324).

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

472830372 is a wasteful number, since it uses less digits than its factorization.

472830372 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 69519 (or 69505 counting only the distinct ones).

The product of its (nonzero) digits is 56448, while the sum is 36.

The square root of 472830372 is about 21744.6630693603. The cubic root of 472830372 is about 779.0556025794.

The spelling of 472830372 in words is "four hundred seventy-two million, eight hundred thirty thousand, three hundred seventy-two".

Divisors: 1 2 3 4 6 7 9 12 14 18 21 27 28 36 42 54 63 81 84 108 126 162 189 243 252 324 378 486 567 756 972 1134 1701 2268 3402 6804 69493 138986 208479 277972 416958 486451 625437 833916 972902 1250874 1459353 1876311 1945804 2501748 2918706 3752622 4378059 5628933 5837412 7505244 8756118 11257866 13134177 16886799 17512236 22515732 26268354 33773598 39402531 52536708 67547196 78805062 118207593 157610124 236415186 472830372