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146444664 = 233172912377
BaseRepresentation
bin10001011101010…
…01000101111000
3101012120011022110
420232221011320
5244442212124
622310452320
73425521242
oct1056510570
9335504273
10146444664
1175734053
12410640a0
1324455862
1415641092
15cccb029
hex8ba9178

146444664 has 64 divisors (see below), whose sum is σ = 401047200. Its totient is φ = 44355584.

The previous prime is 146444663. The next prime is 146444677. The reversal of 146444664 is 466444641.

It is a super-2 number, since 2×1464446642 = 42892079228145792, which contains 22 as substring.

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (146444663) 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 15 ways as a sum of consecutive naturals, for example, 5644 + ... + 18020.

Almost surely, 2146444664 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 146444664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (200523600).

146444664 is an abundant number, since it is smaller than the sum of its proper divisors (254602536).

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

146444664 is a wasteful number, since it uses less digits than its factorization.

146444664 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12432 (or 12428 counting only the distinct ones).

The product of its digits is 221184, while the sum is 39.

The square root of 146444664 is about 12101.4323119208. The cubic root of 146444664 is about 527.0977762308.

The spelling of 146444664 in words is "one hundred forty-six million, four hundred forty-four thousand, six hundred sixty-four".

Divisors: 1 2 3 4 6 8 12 17 24 29 34 51 58 68 87 102 116 136 174 204 232 348 408 493 696 986 1479 1972 2958 3944 5916 11832 12377 24754 37131 49508 74262 99016 148524 210409 297048 358933 420818 631227 717866 841636 1076799 1262454 1435732 1683272 2153598 2524908 2871464 4307196 5049816 6101861 8614392 12203722 18305583 24407444 36611166 48814888 73222332 146444664