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468070512 = 24371328243
BaseRepresentation
bin11011111001100…
…011000001110000
31012121202110000220
4123321203001300
51424311224022
6114240213040
714412351030
oct3371430160
91177673026
10468070512
11220239338
1211090a180
1375c85b00
14462438c0
152b15c85c
hex1be63070

468070512 has 120 divisors (see below), whose sum is σ = 1496582784. Its totient is φ = 123432192.

The previous prime is 468070481. The next prime is 468070583. The reversal of 468070512 is 215070864.

It is a hoax number, since the sum of its digits (33) coincides with the sum of the digits of its distinct prime factors.

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, 52663 + ... + 60905.

Almost surely, 2468070512 is an apocalyptic number.

468070512 is a gapful number since it is divisible by the number (42) 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 468070512, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (748291392).

468070512 is an abundant number, since it is smaller than the sum of its proper divisors (1028512272).

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

468070512 is a wasteful number, since it uses less digits than its factorization.

468070512 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8287 (or 8268 counting only the distinct ones).

The product of its (nonzero) digits is 13440, while the sum is 33.

The square root of 468070512 is about 21634.9373005794. The cubic root of 468070512 is about 776.4325979198.

The spelling of 468070512 in words is "four hundred sixty-eight million, seventy thousand, five hundred twelve".

Divisors: 1 2 3 4 6 7 8 12 13 14 16 21 24 26 28 39 42 48 52 56 78 84 91 104 112 156 168 169 182 208 273 312 336 338 364 507 546 624 676 728 1014 1092 1183 1352 1456 2028 2184 2366 2704 3549 4056 4368 4732 7098 8112 8243 9464 14196 16486 18928 24729 28392 32972 49458 56784 57701 65944 98916 107159 115402 131888 173103 197832 214318 230804 321477 346206 395664 428636 461608 642954 692412 750113 857272 923216 1285908 1384824 1393067 1500226 1714544 2250339 2571816 2769648 2786134 3000452 4179201 4500678 5143632 5572268 6000904 8358402 9001356 9751469 11144536 12001808 16716804 18002712 19502938 22289072 29254407 33433608 36005424 39005876 58508814 66867216 78011752 117017628 156023504 234035256 468070512