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468296430 = 23572318569
BaseRepresentation
bin11011111010011…
…010001011101110
31012122011220221020
4123322122023232
51424340441210
6114245115010
714414311500
oct3372321356
91178156836
10468296430
11220383048
121109b8a66
13760348a4
14462a1d70
152b1a4770
hex1be9a2ee

468296430 has 48 divisors (see below), whose sum is σ = 1307411280. Its totient is φ = 107038848.

The previous prime is 468296429. The next prime is 468296443. The reversal of 468296430 is 34692864.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a Curzon number.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 157815 + ... + 160754.

It is an arithmetic number, because the mean of its divisors is an integer number (27237735).

Almost surely, 2468296430 is an apocalyptic number.

468296430 is an abundant number, since it is smaller than the sum of its proper divisors (839114850).

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

468296430 is a wasteful number, since it uses less digits than its factorization.

468296430 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 318593 (or 318586 counting only the distinct ones).

The product of its (nonzero) digits is 248832, while the sum is 42.

The square root of 468296430 is about 21640.1578090364. The cubic root of 468296430 is about 776.5574949753.

The spelling of 468296430 in words is "four hundred sixty-eight million, two hundred ninety-six thousand, four hundred thirty".

Divisors: 1 2 3 5 6 7 10 14 15 21 30 35 42 49 70 98 105 147 210 245 294 490 735 1470 318569 637138 955707 1592845 1911414 2229983 3185690 4459966 4778535 6689949 9557070 11149915 13379898 15609881 22299830 31219762 33449745 46829643 66899490 78049405 93659286 156098810 234148215 468296430