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48500992 = 282947139
BaseRepresentation
bin1011100100000…
…1000100000000
310101021002212001
42321001010000
544404012432
64451313344
71126152211
oct271010400
9111232761
1048500992
1125417571
12142ab854
13a082017
146627408
1543d09e7
hex2e41100

48500992 has 72 divisors (see below), whose sum is σ = 103017600. Its totient is φ = 22751232.

The previous prime is 48500971. The next prime is 48500993. The reversal of 48500992 is 29900584.

It is a hoax number, since the sum of its digits (37) coincides with the sum of the digits of its distinct prime factors.

It is not an unprimeable number, because it can be changed into a prime (48500993) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 348859 + ... + 348997.

It is an arithmetic number, because the mean of its divisors is an integer number (1430800).

Almost surely, 248500992 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 48500992, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (51508800).

48500992 is an abundant number, since it is smaller than the sum of its proper divisors (54516608).

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

48500992 is a wasteful number, since it uses less digits than its factorization.

48500992 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 231 (or 217 counting only the distinct ones).

The product of its (nonzero) digits is 25920, while the sum is 37.

The square root of 48500992 is about 6964.2653596772. The cubic root of 48500992 is about 364.6841378234.

The spelling of 48500992 in words is "forty-eight million, five hundred thousand, nine hundred ninety-two".

Divisors: 1 2 4 8 16 29 32 47 58 64 94 116 128 139 188 232 256 278 376 464 556 752 928 1112 1363 1504 1856 2224 2726 3008 3712 4031 4448 5452 6016 6533 7424 8062 8896 10904 12032 13066 16124 17792 21808 26132 32248 35584 43616 52264 64496 87232 104528 128992 174464 189457 209056 257984 348928 378914 418112 515968 757828 836224 1031936 1515656 1672448 3031312 6062624 12125248 24250496 48500992