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146368448 = 2637113547
BaseRepresentation
bin10001011100101…
…10011111000000
3101012102021202122
420232112133000
5244432242243
622305103412
73425053112
oct1056263700
9335367678
10146368448
1175691866
1241027b68
1324429c65
14156213b2
15ccb3668
hex8b967c0

146368448 has 56 divisors (see below), whose sum is σ = 301489872. Its totient is φ = 70447104.

The previous prime is 146368447. The next prime is 146368477. The reversal of 146368448 is 844863641.

It is a junction number, because it is equal to n+sod(n) for n = 146368399 and 146368408.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (146368447) 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, 267311 + ... + 267857.

Almost surely, 2146368448 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 146368448, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (150744936).

146368448 is an abundant number, since it is smaller than the sum of its proper divisors (155121424).

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

146368448 is a wasteful number, since it uses less digits than its factorization.

146368448 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 709 (or 699 counting only the distinct ones).

The product of its digits is 442368, while the sum is 44.

The square root of 146368448 is about 12098.2828533639. The cubic root of 146368448 is about 527.0063190339.

The spelling of 146368448 in words is "one hundred forty-six million, three hundred sixty-eight thousand, four hundred forty-eight".

Divisors: 1 2 4 8 16 32 37 64 74 113 148 226 296 452 547 592 904 1094 1184 1808 2188 2368 3616 4181 4376 7232 8362 8752 16724 17504 20239 33448 35008 40478 61811 66896 80956 123622 133792 161912 247244 267584 323824 494488 647648 988976 1295296 1977952 2287007 3955904 4574014 9148028 18296056 36592112 73184224 146368448