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48092320 = 2551717681
BaseRepresentation
bin1011011101110…
…1010010100000
310100111100021001
42313131102200
544302423240
64434441344
71122530563
oct267352240
9110440231
1048092320
1125168521
1214133254
139c6acc3
14655c4da
15434e89a
hex2ddd4a0

48092320 has 48 divisors (see below), whose sum is σ = 120308328. Its totient is φ = 18104320.

The previous prime is 48092293. The next prime is 48092321. The reversal of 48092320 is 2329084.

48092320 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 4 ways, for example, as 39589264 + 8503056 = 6292^2 + 2916^2 .

It is a super-3 number, since 3×480923203 (a number of 24 digits) contains 333 as substring.

It is not an unprimeable number, because it can be changed into a prime (48092321) 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, 6121 + ... + 11560.

Almost surely, 248092320 is an apocalyptic number.

48092320 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

48092320 is an abundant number, since it is smaller than the sum of its proper divisors (72216008).

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

48092320 is a wasteful number, since it uses less digits than its factorization.

48092320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 17713 (or 17705 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 28.

The square root of 48092320 is about 6934.8626518483. The cubic root of 48092320 is about 363.6569645905.

The spelling of 48092320 in words is "forty-eight million, ninety-two thousand, three hundred twenty".

Divisors: 1 2 4 5 8 10 16 17 20 32 34 40 68 80 85 136 160 170 272 340 544 680 1360 2720 17681 35362 70724 88405 141448 176810 282896 300577 353620 565792 601154 707240 1202308 1414480 1502885 2404616 2828960 3005770 4809232 6011540 9618464 12023080 24046160 48092320