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470909772 = 223229716353
BaseRepresentation
bin11100000100011…
…000001101001100
31012211002200202200
4130010120031030
51431023103042
6114421121500
714445444534
oct3404301514
91184080680
10470909772
112218a8533
12111859290
137673b248
14467824c4
152b51dc4c
hex1c11834c

470909772 has 72 divisors (see below), whose sum is σ = 1248942240. Its totient is φ = 149399040.

The previous prime is 470909749. The next prime is 470909783. The reversal of 470909772 is 277909074.

It is a happy number.

470909772 is a `hidden beast` number, since 470 + 90 + 97 + 7 + 2 = 666.

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 23 ways as a sum of consecutive naturals, for example, 70948 + ... + 77300.

It is an arithmetic number, because the mean of its divisors is an integer number (17346420).

Almost surely, 2470909772 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 470909772, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (624471120).

470909772 is an abundant number, since it is smaller than the sum of its proper divisors (778032468).

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

470909772 is a wasteful number, since it uses less digits than its factorization.

470909772 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6463 (or 6458 counting only the distinct ones).

The product of its (nonzero) digits is 222264, while the sum is 45.

The square root of 470909772 is about 21700.4555712547. The cubic root of 470909772 is about 777.9993501668. Note that the first 3 decimals are identical.

The spelling of 470909772 in words is "four hundred seventy million, nine hundred nine thousand, seven hundred seventy-two".

Divisors: 1 2 3 4 6 9 12 18 29 36 58 71 87 116 142 174 213 261 284 348 426 522 639 852 1044 1278 2059 2556 4118 6177 6353 8236 12354 12706 18531 19059 24708 25412 37062 38118 57177 74124 76236 114354 184237 228708 368474 451063 552711 736948 902126 1105422 1353189 1658133 1804252 2210844 2706378 3316266 4059567 5412756 6632532 8119134 13080827 16238268 26161654 39242481 52323308 78484962 117727443 156969924 235454886 470909772