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146046464 = 291915013
BaseRepresentation
bin10001011010001…
…11111000000000
3101011210221002022
420231013320000
5244341441324
622254141012
73422242304
oct1055077000
9334727068
10146046464
1175491963
1240ab1768
1324346535
1415579d04
15cc4d05e
hex8b47e00

146046464 has 40 divisors (see below), whose sum is σ = 307186440. Its totient is φ = 69175296.

The previous prime is 146046463. The next prime is 146046479. The reversal of 146046464 is 464640641.

146046464 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (146046463) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 2222 + ... + 17234.

It is an arithmetic number, because the mean of its divisors is an integer number (7679661).

Almost surely, 2146046464 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 146046464, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (153593220).

146046464 is an abundant number, since it is smaller than the sum of its proper divisors (161139976).

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

146046464 is an equidigital number, since it uses as much as digits as its factorization.

146046464 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15050 (or 15034 counting only the distinct ones).

The product of its (nonzero) digits is 55296, while the sum is 35.

The square root of 146046464 is about 12084.9685146466. The cubic root of 146046464 is about 526.6195959285.

The spelling of 146046464 in words is "one hundred forty-six million, forty-six thousand, four hundred sixty-four".

Divisors: 1 2 4 8 16 19 32 38 64 76 128 152 256 304 512 608 1216 2432 4864 9728 15013 30026 60052 120104 240208 285247 480416 570494 960832 1140988 1921664 2281976 3843328 4563952 7686656 9127904 18255808 36511616 73023232 146046464