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48743292 = 223131671871
BaseRepresentation
bin1011100111110…
…0001101111100
310101201102020010
42321330031330
544434241132
64500423220
71131211503
oct271741574
9111642203
1048743292
1125572614
12143a7b10
13a1383b0
14668b83a
15442c6cc
hex2e7c37c

48743292 has 48 divisors (see below), whose sum is σ = 123282432. Its totient is φ = 14900160.

The previous prime is 48743291. The next prime is 48743309. The reversal of 48743292 is 29234784.

It is a Harshad number since it is a multiple of its sum of digits (39).

It is a self number, because there is not a number n which added to its sum of digits gives 48743292.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (48743291) 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, 25117 + ... + 26987.

It is an arithmetic number, because the mean of its divisors is an integer number (2568384).

Almost surely, 248743292 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 48743292, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (61641216).

48743292 is an abundant number, since it is smaller than the sum of its proper divisors (74539140).

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

48743292 is a wasteful number, since it uses less digits than its factorization.

48743292 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2058 (or 2056 counting only the distinct ones).

The product of its digits is 96768, while the sum is 39.

The square root of 48743292 is about 6981.6396355011. The cubic root of 48743292 is about 365.2904225120.

The spelling of 48743292 in words is "forty-eight million, seven hundred forty-three thousand, two hundred ninety-two".

Divisors: 1 2 3 4 6 12 13 26 39 52 78 156 167 334 501 668 1002 1871 2004 2171 3742 4342 5613 6513 7484 8684 11226 13026 22452 24323 26052 48646 72969 97292 145938 291876 312457 624914 937371 1249828 1874742 3749484 4061941 8123882 12185823 16247764 24371646 48743292