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48676992 = 2737213199
BaseRepresentation
bin1011100110110…
…0000010000000
310101121001021120
42321230002000
544430130432
64455152240
71130514300
oct271540200
9111531246
1048676992
1125527821
1214375680
13a114170
146671600
154417c2c
hex2e6c080

48676992 has 192 divisors, whose sum is σ = 162792000. Its totient is φ = 12773376.

The previous prime is 48676973. The next prime is 48676997. The reversal of 48676992 is 29967684.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (192).

Its product of digits (1306368) is a multiple of the sum of its prime divisors (224).

It is not an unprimeable number, because it can be changed into a prime (48676997) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 244509 + ... + 244707.

It is an arithmetic number, because the mean of its divisors is an integer number (847875).

Almost surely, 248676992 is an apocalyptic number.

48676992 is a gapful number since it is divisible by the number (42) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 48676992, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (81396000).

48676992 is an abundant number, since it is smaller than the sum of its proper divisors (114115008).

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

48676992 is a wasteful number, since it uses less digits than its factorization.

48676992 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 243 (or 224 counting only the distinct ones).

The product of its digits is 1306368, while the sum is 51.

The square root of 48676992 is about 6976.8898515026. The cubic root of 48676992 is about 365.1247262489.

The spelling of 48676992 in words is "forty-eight million, six hundred seventy-six thousand, nine hundred ninety-two".