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145646874 = 23229377541
BaseRepresentation
bin10001010111001…
…10010100011010
3101011001121221200
420223212110122
5244241144444
622241415030
73415656312
oct1053462432
9334047850
10145646874
117523971a
124093a476
13242366a9
14154b4442
15cbbe969
hex8ae651a

145646874 has 48 divisors (see below), whose sum is σ = 335317320. Its totient is φ = 45601920.

The previous prime is 145646873. The next prime is 145646881. The reversal of 145646874 is 478646541.

145646874 is a `hidden beast` number, since 1 + 4 + 564 + 6 + 87 + 4 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 126225225 + 19421649 = 11235^2 + 4407^2 .

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (145646873) 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 23 ways as a sum of consecutive naturals, for example, 15544 + ... + 23084.

Almost surely, 2145646874 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 145646874, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (167658660).

145646874 is an abundant number, since it is smaller than the sum of its proper divisors (189670446).

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

145646874 is a wasteful number, since it uses less digits than its factorization.

145646874 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7615 (or 7612 counting only the distinct ones).

The product of its digits is 645120, while the sum is 45.

The square root of 145646874 is about 12068.4246693593. The cubic root of 145646874 is about 526.1388718994.

The spelling of 145646874 in words is "one hundred forty-five million, six hundred forty-six thousand, eight hundred seventy-four".

Divisors: 1 2 3 6 9 18 29 37 58 74 87 111 174 222 261 333 522 666 1073 2146 3219 6438 7541 9657 15082 19314 22623 45246 67869 135738 218689 279017 437378 558034 656067 837051 1312134 1674102 1968201 2511153 3936402 5022306 8091493 16182986 24274479 48548958 72823437 145646874