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470776740 = 223575321149
BaseRepresentation
bin11100000011110…
…111101110100100
31012210211221021120
4130003313232210
51431004323430
6114414213540
714444351640
oct3403675644
91183757246
10470776740
11221817595
121117b42b0
13766c2825
1446749c20
152b4e4610
hex1c0f7ba4

470776740 has 96 divisors (see below), whose sum is σ = 1534982400. Its totient is φ = 105570816.

The previous prime is 470776739. The next prime is 470776741. The reversal of 470776740 is 47677074.

It is an interprime number because it is at equal distance from previous prime (470776739) and next prime (470776741).

It is a hoax number, since the sum of its digits (42) coincides with the sum of the digits of its distinct prime factors.

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

It is a junction number, because it is equal to n+sod(n) for n = 470776692 and 470776701.

It is not an unprimeable number, because it can be changed into a prime (470776741) 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, 11686 + ... + 32834.

It is an arithmetic number, because the mean of its divisors is an integer number (15989400).

Almost surely, 2470776740 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 470776740, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (767491200).

470776740 is an abundant number, since it is smaller than the sum of its proper divisors (1064205660).

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

470776740 is a wasteful number, since it uses less digits than its factorization.

470776740 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 21221 (or 21219 counting only the distinct ones).

The product of its (nonzero) digits is 230496, while the sum is 42.

The square root of 470776740 is about 21697.3901656397. The cubic root of 470776740 is about 777.9260816672.

The spelling of 470776740 in words is "four hundred seventy million, seven hundred seventy-six thousand, seven hundred forty".

Divisors: 1 2 3 4 5 6 7 10 12 14 15 20 21 28 30 35 42 53 60 70 84 105 106 140 159 210 212 265 318 371 420 530 636 742 795 1060 1113 1484 1590 1855 2226 3180 3710 4452 5565 7420 11130 21149 22260 42298 63447 84596 105745 126894 148043 211490 253788 296086 317235 422980 444129 592172 634470 740215 888258 1120897 1268940 1480430 1776516 2220645 2241794 2960860 3362691 4441290 4483588 5604485 6725382 7846279 8882580 11208970 13450764 15692558 16813455 22417940 23538837 31385116 33626910 39231395 47077674 67253820 78462790 94155348 117694185 156925580 235388370 470776740