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470912292 = 22341032137
BaseRepresentation
bin11100000100011…
…000110100100100
31012211002211020000
4130010120310210
51431023143132
6114421141300
714445455064
oct3404306444
91184084200
10470912292
112218aa414
1211185a830
137673c436
14467833a4
152b51e87c
hex1c118d24

470912292 has 90 divisors (see below), whose sum is σ = 1252199718. Its totient is φ = 154312128.

The previous prime is 470912279. The next prime is 470912311. The reversal of 470912292 is 292219074.

It can be written as a sum of positive squares in only one way, i.e., 415915236 + 54997056 = 20394^2 + 7416^2 .

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 29 ways as a sum of consecutive naturals, for example, 3437248 + ... + 3437384.

Almost surely, 2470912292 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 470912292, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (626099859).

470912292 is an abundant number, since it is smaller than the sum of its proper divisors (781287426).

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

470912292 is a wasteful number, since it uses less digits than its factorization.

470912292 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 359 (or 245 counting only the distinct ones).

The product of its (nonzero) digits is 18144, while the sum is 36.

The square root of 470912292 is about 21700.5136344742. The cubic root of 470912292 is about 778.0007379449. Note that the first 3 decimals are identical.

The spelling of 470912292 in words is "four hundred seventy million, nine hundred twelve thousand, two hundred ninety-two".

Divisors: 1 2 3 4 6 9 12 18 27 36 54 81 103 108 137 162 206 274 309 324 411 412 548 618 822 927 1233 1236 1644 1854 2466 2781 3699 3708 4932 5562 7398 8343 10609 11097 11124 14111 14796 16686 21218 22194 28222 31827 33372 42333 42436 44388 56444 63654 84666 95481 126999 127308 169332 190962 253998 286443 380997 381924 507996 572886 761994 859329 1142991 1145772 1453433 1523988 1718658 2285982 2906866 3437316 4360299 4571964 5813732 8720598 13080897 17441196 26161794 39242691 52323588 78485382 117728073 156970764 235456146 470912292