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466141904 = 24172935849
BaseRepresentation
bin11011110010001…
…100001011010000
31012111010110110222
4123302030023100
51423313020104
6114131012212
714360066204
oct3362141320
91174113428
10466141904
1121a141348
1211013a068
137575c017
1445ca0b04
152adcb1be
hex1bc8c2d0

466141904 has 40 divisors (see below), whose sum is σ = 959704200. Its totient is φ = 218574848.

The previous prime is 466141903. The next prime is 466141927. The reversal of 466141904 is 409141664.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 208860304 + 257281600 = 14452^2 + 16040^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (466141901) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 76772 + ... + 82620.

It is an arithmetic number, because the mean of its divisors is an integer number (23992605).

Almost surely, 2466141904 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 466141904, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (479852100).

466141904 is an abundant number, since it is smaller than the sum of its proper divisors (493562296).

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

466141904 is a wasteful number, since it uses less digits than its factorization.

466141904 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6167 (or 6161 counting only the distinct ones).

The product of its (nonzero) digits is 20736, while the sum is 35.

The square root of 466141904 is about 21590.3196826726. The cubic root of 466141904 is about 775.3647420831.

The spelling of 466141904 in words is "four hundred sixty-six million, one hundred forty-one thousand, nine hundred four".

Divisors: 1 2 4 8 16 17 34 68 136 272 293 586 1172 2344 4688 4981 5849 9962 11698 19924 23396 39848 46792 79696 93584 99433 198866 397732 795464 1590928 1713757 3427514 6855028 13710056 27420112 29133869 58267738 116535476 233070952 466141904