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48603942 = 2332941757
BaseRepresentation
bin1011100101101…
…0001100100110
310101110100002000
42321122030212
544420311232
64453430130
71130061312
oct271321446
9111410060
1048603942
1125487952
121433b346
13a0b9b3a
146652b42
15440127c
hex2e5a326

48603942 has 64 divisors (see below), whose sum is σ = 114609600. Its totient is φ = 15240960.

The previous prime is 48603941. The next prime is 48604019. The reversal of 48603942 is 24930684.

It is a happy number.

48603942 is a `hidden beast` number, since 4 + 8 + 603 + 9 + 42 = 666.

48603942 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 = 48603897 and 48603906.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (48603941) by changing a digit.

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 31 ways as a sum of consecutive naturals, for example, 63828 + ... + 64584.

It is an arithmetic number, because the mean of its divisors is an integer number (1790775).

Almost surely, 248603942 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 48603942, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (57304800).

48603942 is an abundant number, since it is smaller than the sum of its proper divisors (66005658).

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

48603942 is a wasteful number, since it uses less digits than its factorization.

48603942 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 838 (or 832 counting only the distinct ones).

The product of its (nonzero) digits is 41472, while the sum is 36.

The square root of 48603942 is about 6971.6527452248. The cubic root of 48603942 is about 364.9419861509.

The spelling of 48603942 in words is "forty-eight million, six hundred three thousand, nine hundred forty-two".

Divisors: 1 2 3 6 9 18 27 29 41 54 58 82 87 123 174 246 261 369 522 738 757 783 1107 1189 1514 1566 2214 2271 2378 3567 4542 6813 7134 10701 13626 20439 21402 21953 31037 32103 40878 43906 62074 64206 65859 93111 131718 186222 197577 279333 395154 558666 592731 837999 900073 1185462 1675998 1800146 2700219 5400438 8100657 16201314 24301971 48603942