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468382746 = 231343731913
BaseRepresentation
bin11011111010101…
…111010000011010
31012122100022100010
4123322233100122
51424401221441
6114251022350
714415121236
oct3372572032
91178308303
10468382746
11220431987
12110a3a9b6
1376064c70
14462c55c6
152b1c0116
hex1beaf41a

468382746 has 64 divisors (see below), whose sum is σ = 1046973312. Its totient is φ = 138765312.

The previous prime is 468382727. The next prime is 468382807. The reversal of 468382746 is 647283864.

It is a junction number, because it is equal to n+sod(n) for n = 468382695 and 468382704.

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 31 ways as a sum of consecutive naturals, for example, 243886 + ... + 245798.

It is an arithmetic number, because the mean of its divisors is an integer number (16358958).

Almost surely, 2468382746 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 468382746, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (523486656).

468382746 is an abundant number, since it is smaller than the sum of its proper divisors (578590566).

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

468382746 is a wasteful number, since it uses less digits than its factorization.

468382746 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2047.

The product of its digits is 1548288, while the sum is 48.

The square root of 468382746 is about 21642.1520648941. The cubic root of 468382746 is about 776.6052035168.

It can be divided in two parts, 468 and 382746, that multiplied together give a triangular number (179125128 = T18927).

The spelling of 468382746 in words is "four hundred sixty-eight million, three hundred eighty-two thousand, seven hundred forty-six".

Divisors: 1 2 3 6 13 26 39 43 73 78 86 129 146 219 258 438 559 949 1118 1677 1898 1913 2847 3139 3354 3826 5694 5739 6278 9417 11478 18834 24869 40807 49738 74607 81614 82259 122421 139649 149214 164518 244842 246777 279298 418947 493554 837894 1069367 1815437 2138734 3208101 3630874 5446311 6004907 6416202 10892622 12009814 18014721 36029442 78063791 156127582 234191373 468382746