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470504916 = 223375991039
BaseRepresentation
bin11100000010110…
…101010111010100
31012210100010102000
4130002311113110
51430422124131
6114404315300
714442140310
oct3402652724
91183303360
10470504916
11221651342
121116a2b30
1376628b9b
14466b8b40
152b48dce6
hex1c0b55d4

470504916 has 96 divisors (see below), whose sum is σ = 1397760000. Its totient is φ = 134076384.

The previous prime is 470504893. The next prime is 470504917. The reversal of 470504916 is 619405074.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (470504917) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 452325 + ... + 453363.

It is an arithmetic number, because the mean of its divisors is an integer number (14560000).

Almost surely, 2470504916 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 470504916, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (698880000).

470504916 is an abundant number, since it is smaller than the sum of its proper divisors (927255084).

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

470504916 is a wasteful number, since it uses less digits than its factorization.

470504916 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1658 (or 1650 counting only the distinct ones).

The product of its (nonzero) digits is 30240, while the sum is 36.

The square root of 470504916 is about 21691.1252820134. The cubic root of 470504916 is about 777.7763293730.

The spelling of 470504916 in words is "four hundred seventy million, five hundred four thousand, nine hundred sixteen".

Divisors: 1 2 3 4 6 7 9 12 14 18 21 27 28 36 42 54 63 84 108 126 189 252 378 599 756 1039 1198 1797 2078 2396 3117 3594 4156 4193 5391 6234 7188 7273 8386 9351 10782 12468 12579 14546 16173 16772 18702 21564 21819 25158 28053 29092 32346 37404 37737 43638 50316 56106 64692 65457 75474 87276 112212 113211 130914 150948 196371 226422 261828 392742 452844 622361 785484 1244722 1867083 2489444 3734166 4356527 5601249 7468332 8713054 11202498 13069581 16803747 17426108 22404996 26139162 33607494 39208743 52278324 67214988 78417486 117626229 156834972 235252458 470504916