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48904140 = 22351137213
BaseRepresentation
bin1011101010001…
…1011111001100
310102000120212110
42322203133030
5100004413030
64504104020
71132451445
oct272433714
9112016773
1048904140
112567244a
1214465010
13a19367c
1466d02cc
1544601b0
hex2ea37cc

48904140 has 48 divisors (see below), whose sum is σ = 138162528. Its totient is φ = 12923904.

The previous prime is 48904139. The next prime is 48904147. The reversal of 48904140 is 4140984.

It is a super-2 number, since 2×489041402 = 4783229818279200, which contains 22 as substring.

It is a Smith number, since the sum of its digits (30) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a junction number, because it is equal to n+sod(n) for n = 48904098 and 48904107.

It is not an unprimeable number, because it can be changed into a prime (48904147) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 3174 + ... + 10386.

It is an arithmetic number, because the mean of its divisors is an integer number (2878386).

Almost surely, 248904140 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 48904140, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (69081264).

48904140 is an abundant number, since it is smaller than the sum of its proper divisors (89258388).

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

48904140 is a wasteful number, since it uses less digits than its factorization.

48904140 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7338 (or 7336 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 30.

The square root of 48904140 is about 6993.1495050514. The cubic root of 48904140 is about 365.6917886610.

The spelling of 48904140 in words is "forty-eight million, nine hundred four thousand, one hundred forty".

Divisors: 1 2 3 4 5 6 10 12 15 20 30 60 113 226 339 452 565 678 1130 1356 1695 2260 3390 6780 7213 14426 21639 28852 36065 43278 72130 86556 108195 144260 216390 432780 815069 1630138 2445207 3260276 4075345 4890414 8150690 9780828 12226035 16301380 24452070 48904140