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48718242 = 23219167853
BaseRepresentation
bin1011100111011…
…0000110100010
310101200010212100
42321312012202
544432440432
64500111230
71131045456
oct271660642
9111603770
1048718242
1125555811
1214395516
13a129b81
146682666
15442507c
hex2e761a2

48718242 has 48 divisors (see below), whose sum is σ = 111908160. Its totient is φ = 15274656.

The previous prime is 48718237. The next prime is 48718303. The reversal of 48718242 is 24281784.

48718242 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a junction number, because it is equal to n+sod(n) for n = 48718197 and 48718206.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 56688 + ... + 57540.

It is an arithmetic number, because the mean of its divisors is an integer number (2331420).

Almost surely, 248718242 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 48718242, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (55954080).

48718242 is an abundant number, since it is smaller than the sum of its proper divisors (63189918).

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

48718242 is a wasteful number, since it uses less digits than its factorization.

48718242 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1047 (or 1044 counting only the distinct ones).

The product of its digits is 28672, while the sum is 36.

The square root of 48718242 is about 6979.8454137610. The cubic root of 48718242 is about 365.2278354859.

The spelling of 48718242 in words is "forty-eight million, seven hundred eighteen thousand, two hundred forty-two".

Divisors: 1 2 3 6 9 18 19 38 57 114 167 171 334 342 501 853 1002 1503 1706 2559 3006 3173 5118 6346 7677 9519 15354 16207 19038 28557 32414 48621 57114 97242 142451 145863 284902 291726 427353 854706 1282059 2564118 2706569 5413138 8119707 16239414 24359121 48718242