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48357342 = 23211283863
BaseRepresentation
bin1011100001110…
…1111111011110
310100222210210200
42320131333132
544334413332
64444244330
71125013335
oct270357736
9110883720
1048357342
1125329650
12142406a6
13a031817
1465cad1c
1543a317c
hex2e1dfde

48357342 has 48 divisors (see below), whose sum is σ = 114835968. Its totient is φ = 14585040.

The previous prime is 48357341. The next prime is 48357343. The reversal of 48357342 is 24375384.

It is a happy number.

48357342 is a `hidden beast` number, since 4 + 83 + 573 + 4 + 2 = 666.

It is an interprime number because it is at equal distance from previous prime (48357341) and next prime (48357343).

It is a junction number, because it is equal to n+sod(n) for n = 48357297 and 48357306.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (48357341) 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, 55603 + ... + 56465.

It is an arithmetic number, because the mean of its divisors is an integer number (2392416).

Almost surely, 248357342 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 48357342, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (57417984).

48357342 is an abundant number, since it is smaller than the sum of its proper divisors (66478626).

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

48357342 is a wasteful number, since it uses less digits than its factorization.

48357342 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1165 (or 1162 counting only the distinct ones).

The product of its digits is 80640, while the sum is 36.

The square root of 48357342 is about 6953.9443483537. The cubic root of 48357342 is about 364.3237418862.

The spelling of 48357342 in words is "forty-eight million, three hundred fifty-seven thousand, three hundred forty-two".

Divisors: 1 2 3 6 9 11 18 22 33 66 99 198 283 566 849 863 1698 1726 2547 2589 3113 5094 5178 6226 7767 9339 9493 15534 18678 18986 28017 28479 56034 56958 85437 170874 244229 488458 732687 1465374 2198061 2686519 4396122 5373038 8059557 16119114 24178671 48357342