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48742120 = 2357174079
BaseRepresentation
bin1011100111101…
…1111011101000
310101201100121201
42321323323220
544434221440
64500413544
71131205210
oct271737350
9111640551
1048742120
1125571749
12143a72b4
13a1379bb
14668b240
15442c19a
hex2e7bee8

48742120 has 32 divisors (see below), whose sum is σ = 125337600. Its totient is φ = 16711488.

The previous prime is 48742081. The next prime is 48742159. The reversal of 48742120 is 2124784.

It is an interprime number because it is at equal distance from previous prime (48742081) and next prime (48742159).

It is a Harshad number since it is a multiple of its sum of digits (28).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 86760 + ... + 87319.

It is an arithmetic number, because the mean of its divisors is an integer number (3916800).

Almost surely, 248742120 is an apocalyptic number.

48742120 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

48742120 is an abundant number, since it is smaller than the sum of its proper divisors (76595480).

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

48742120 is a wasteful number, since it uses less digits than its factorization.

48742120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 174097 (or 174093 counting only the distinct ones).

The product of its (nonzero) digits is 3584, while the sum is 28.

The square root of 48742120 is about 6981.5557005584. Note that the first 3 decimals coincide. The cubic root of 48742120 is about 365.2874947668.

The spelling of 48742120 in words is "forty-eight million, seven hundred forty-two thousand, one hundred twenty".

Divisors: 1 2 4 5 7 8 10 14 20 28 35 40 56 70 140 280 174079 348158 696316 870395 1218553 1392632 1740790 2437106 3481580 4874212 6092765 6963160 9748424 12185530 24371060 48742120