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463226764 = 2271113196089
BaseRepresentation
bin11011100111000…
…100011110001100
31012021122100122211
4123213010132030
51422041224024
6113544320204
714323235230
oct3347043614
91167570584
10463226764
11218530140
1210b173064
1374c7b1a0
14457425c0
152aa02594
hex1b9c478c

463226764 has 96 divisors (see below), whose sum is σ = 1145894400. Its totient is φ = 157800960.

The previous prime is 463226749. The next prime is 463226789. The reversal of 463226764 is 467622364.

It is a super-4 number, since 4×4632267644 (a number of 36 digits) contains 4444 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 73032 + ... + 79120.

It is an arithmetic number, because the mean of its divisors is an integer number (11936400).

Almost surely, 2463226764 is an apocalyptic number.

463226764 is a gapful number since it is divisible by the number (44) 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 463226764, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (572947200).

463226764 is an abundant number, since it is smaller than the sum of its proper divisors (682667636).

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

463226764 is a wasteful number, since it uses less digits than its factorization.

463226764 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6143 (or 6141 counting only the distinct ones).

The product of its digits is 290304, while the sum is 40.

The square root of 463226764 is about 21522.7034547243. The cubic root of 463226764 is about 773.7450457497.

The spelling of 463226764 in words is "four hundred sixty-three million, two hundred twenty-six thousand, seven hundred sixty-four".

Divisors: 1 2 4 7 11 13 14 19 22 26 28 38 44 52 76 77 91 133 143 154 182 209 247 266 286 308 364 418 494 532 572 836 988 1001 1463 1729 2002 2717 2926 3458 4004 5434 5852 6089 6916 10868 12178 19019 24356 38038 42623 66979 76076 79157 85246 115691 133958 158314 170492 231382 267916 316628 462764 468853 554099 809837 870727 937706 1108198 1272601 1503983 1619674 1741454 1875412 2216396 2545202 3007966 3239348 3482908 5090404 6015932 6095089 8908207 10527881 12190178 16543813 17816414 21055762 24380356 33087626 35632828 42111524 66175252 115806691 231613382 463226764