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470819640 = 233529193701
BaseRepresentation
bin11100000100000…
…010001100111000
31012210221010010110
4130010002030320
51431012212030
6114415144320
714444621004
oct3404021470
91183833113
10470819640
11221846845
121118150a0
1376709205
144675b704
152b5021b0
hex1c102338

470819640 has 128 divisors (see below), whose sum is σ = 1470830400. Its totient is φ = 120422400.

The previous prime is 470819621. The next prime is 470819647. The reversal of 470819640 is 46918074.

It is a happy number.

It is a super-2 number, since 2×4708196402 = 443342266819459200, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (470819647) 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, 671290 + ... + 671990.

Almost surely, 2470819640 is an apocalyptic number.

470819640 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 470819640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (735415200).

470819640 is an abundant number, since it is smaller than the sum of its proper divisors (1000010760).

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

470819640 is a wasteful number, since it uses less digits than its factorization.

470819640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 937 (or 933 counting only the distinct ones).

The product of its (nonzero) digits is 48384, while the sum is 39.

The square root of 470819640 is about 21698.3787412793. The cubic root of 470819640 is about 777.9497107129.

The spelling of 470819640 in words is "four hundred seventy million, eight hundred nineteen thousand, six hundred forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 29 30 40 58 60 87 116 120 145 174 193 232 290 348 386 435 579 580 696 701 772 870 965 1158 1160 1402 1544 1740 1930 2103 2316 2804 2895 3480 3505 3860 4206 4632 5597 5608 5790 7010 7720 8412 10515 11194 11580 14020 16791 16824 20329 21030 22388 23160 27985 28040 33582 40658 42060 44776 55970 60987 67164 81316 83955 84120 101645 111940 121974 134328 135293 162632 167910 203290 223880 243948 270586 304935 335820 405879 406580 487896 541172 609870 671640 676465 811758 813160 1082344 1219740 1352930 1623516 2029395 2439480 2705860 3247032 3923497 4058790 5411720 7846994 8117580 11770491 15693988 16235160 19617485 23540982 31387976 39234970 47081964 58852455 78469940 94163928 117704910 156939880 235409820 470819640