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466245072 = 243671563
BaseRepresentation
bin11011110010100…
…101010111010000
31012111022201000000
4123302211113100
51423324320242
6114133130000
714361006036
oct3362452720
91174281000
10466245072
1121a201907
12110189900
1375796c77
1445cca556
152adeba4c
hex1bca55d0

466245072 has 140 divisors (see below), whose sum is σ = 1375920864. Its totient is φ = 152953920.

The previous prime is 466245019. The next prime is 466245083. The reversal of 466245072 is 270542664.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 27 ways as a sum of consecutive naturals, for example, 827863 + ... + 828425.

Almost surely, 2466245072 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 466245072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (687960432).

466245072 is an abundant number, since it is smaller than the sum of its proper divisors (909675792).

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

466245072 is an equidigital number, since it uses as much as digits as its factorization.

466245072 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 660 (or 639 counting only the distinct ones).

The product of its (nonzero) digits is 80640, while the sum is 36.

The square root of 466245072 is about 21592.7087693971. The cubic root of 466245072 is about 775.4219399223.

The spelling of 466245072 in words is "four hundred sixty-six million, two hundred forty-five thousand, seventy-two".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 36 48 54 71 72 81 108 142 144 162 213 216 243 284 324 426 432 486 563 568 639 648 729 852 972 1126 1136 1278 1296 1458 1689 1704 1917 1944 2252 2556 2916 3378 3408 3834 3888 4504 5067 5112 5751 5832 6756 7668 9008 10134 10224 11502 11664 13512 15201 15336 17253 20268 23004 27024 30402 30672 34506 39973 40536 45603 46008 51759 60804 69012 79946 81072 91206 92016 103518 119919 121608 136809 138024 159892 182412 207036 239838 243216 273618 276048 319784 359757 364824 410427 414072 479676 547236 639568 719514 729648 820854 828144 959352 1079271 1094472 1439028 1641708 1918704 2158542 2188944 2878056 3237813 3283416 4317084 5756112 6475626 6566832 8634168 9713439 12951252 17268336 19426878 25902504 29140317 38853756 51805008 58280634 77707512 116561268 155415024 233122536 466245072