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467934964 = 227197312049
BaseRepresentation
bin11011111001000…
…001111011110100
31012121111120002121
4123321001323310
51424242404324
6114233245324
714411244610
oct3371017364
91177446077
10467934964
11220156512
12110863844
1375c391c3
144620a340
152b1325e4
hex1be41ef4

467934964 has 48 divisors (see below), whose sum is σ = 998704000. Its totient is φ = 187370496.

The previous prime is 467934913. The next prime is 467934991. The reversal of 467934964 is 469439764.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 32812 + ... + 44860.

Almost surely, 2467934964 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 467934964, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (499352000).

467934964 is an abundant number, since it is smaller than the sum of its proper divisors (530769036).

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

467934964 is a wasteful number, since it uses less digits than its factorization.

467934964 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12152 (or 12150 counting only the distinct ones).

The product of its digits is 3919104, while the sum is 52.

The square root of 467934964 is about 21631.8044554771. The cubic root of 467934964 is about 776.3576419435.

The spelling of 467934964 in words is "four hundred sixty-seven million, nine hundred thirty-four thousand, nine hundred sixty-four".

Divisors: 1 2 4 7 14 19 28 38 73 76 133 146 266 292 511 532 1022 1387 2044 2774 5548 9709 12049 19418 24098 38836 48196 84343 168686 228931 337372 457862 879577 915724 1602517 1759154 3205034 3518308 6157039 6410068 12314078 16711963 24628156 33423926 66847852 116983741 233967482 467934964