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122938848 = 2532426871
BaseRepresentation
bin1110101001111…
…10010111100000
322120022221101200
413110332113200
5222433020343
620111001200
73021651204
oct724762740
9276287350
10122938848
116343985a
1235209200
131c6157a6
1412482b04
15abd64d3
hex753e5e0

122938848 has 36 divisors (see below), whose sum is σ = 349608168. Its totient is φ = 40979520.

The previous prime is 122938847. The next prime is 122938861. The reversal of 122938848 is 848839221.

122938848 is a `hidden beast` number, since 1 + 229 + 388 + 48 = 666.

It is a tau number, because it is divible by the number of its divisors (36).

It is a super-2 number, since 2×1229388482 = 30227920695134208, 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 (122938847) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 213148 + ... + 213723.

It is an arithmetic number, because the mean of its divisors is an integer number (9711338).

Almost surely, 2122938848 is an apocalyptic number.

122938848 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is an amenable number.

122938848 is an abundant number, since it is smaller than the sum of its proper divisors (226669320).

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

122938848 is a wasteful number, since it uses less digits than its factorization.

122938848 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 426887 (or 426876 counting only the distinct ones).

The product of its digits is 221184, while the sum is 45.

The square root of 122938848 is about 11087.7792185811. The cubic root of 122938848 is about 497.2365521836.

The spelling of 122938848 in words is "one hundred twenty-two million, nine hundred thirty-eight thousand, eight hundred forty-eight".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 72 96 144 288 426871 853742 1280613 1707484 2561226 3414968 3841839 5122452 6829936 7683678 10244904 13659872 15367356 20489808 30734712 40979616 61469424 122938848