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468478374 = 237137910861
BaseRepresentation
bin11011111011000…
…110100110100110
31012122112011111220
4123323012212212
51424412301444
6114253041210
714416000110
oct3373064646
91178464456
10468478374
11220497811
12110a86206
1376099650
144630c3b0
152b1dd619
hex1bec69a6

468478374 has 64 divisors (see below), whose sum is σ = 1167882240. Its totient is φ = 121979520.

The previous prime is 468478363. The next prime is 468478379. The reversal of 468478374 is 473874864.

It is a happy number.

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (468478379) by changing a digit.

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, 37704 + ... + 48564.

It is an arithmetic number, because the mean of its divisors is an integer number (18248160).

Almost surely, 2468478374 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 468478374, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (583941120).

468478374 is an abundant number, since it is smaller than the sum of its proper divisors (699403866).

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

468478374 is a wasteful number, since it uses less digits than its factorization.

468478374 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10965.

The product of its digits is 3612672, while the sum is 51.

The square root of 468478374 is about 21644.3612518365. The cubic root of 468478374 is about 776.6580521393.

The spelling of 468478374 in words is "four hundred sixty-eight million, four hundred seventy-eight thousand, three hundred seventy-four".

Divisors: 1 2 3 6 7 13 14 21 26 39 42 78 79 91 158 182 237 273 474 546 553 1027 1106 1659 2054 3081 3318 6162 7189 10861 14378 21567 21722 32583 43134 65166 76027 141193 152054 228081 282386 423579 456162 847158 858019 988351 1716038 1976702 2574057 2965053 5148114 5930106 6006133 11154247 12012266 18018399 22308494 33462741 36036798 66925482 78079729 156159458 234239187 468478374