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472994312 = 237101241347
BaseRepresentation
bin11100001100010…
…101001000001000
31012222000121012212
4130030111020020
51432041304222
6114533524252
714502246110
oct3414251010
91188017185
10472994312
11222aa169a
121124a3688
1376cbacbb
1446b66040
152b7d16e2
hex1c315208

472994312 has 64 divisors (see below), whose sum is σ = 1030803840. Its totient is φ = 199296000.

The previous prime is 472994299. The next prime is 472994317. The reversal of 472994312 is 213499274.

It is a super-3 number, since 3×4729943123 (a number of 27 digits) contains 333 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 472994312.

It is not an unprimeable number, because it can be changed into a prime (472994317) 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, 1362923 + ... + 1363269.

It is an arithmetic number, because the mean of its divisors is an integer number (16106310).

Almost surely, 2472994312 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 472994312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (515401920).

472994312 is an abundant number, since it is smaller than the sum of its proper divisors (557809528).

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

472994312 is a wasteful number, since it uses less digits than its factorization.

472994312 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 702 (or 698 counting only the distinct ones).

The product of its digits is 108864, while the sum is 41.

The square root of 472994312 is about 21748.4324032791. The cubic root of 472994312 is about 779.1456303674.

The spelling of 472994312 in words is "four hundred seventy-two million, nine hundred ninety-four thousand, three hundred twelve".

Divisors: 1 2 4 7 8 14 28 56 101 202 241 347 404 482 694 707 808 964 1388 1414 1687 1928 2429 2776 2828 3374 4858 5656 6748 9716 13496 19432 24341 35047 48682 70094 83627 97364 140188 167254 170387 194728 245329 280376 334508 340774 490658 585389 669016 681548 981316 1170778 1363096 1962632 2341556 4683112 8446327 16892654 33785308 59124289 67570616 118248578 236497156 472994312