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4742499942 = 234157199937
BaseRepresentation
bin1000110101010110…
…01100111001100110
3110020111211221220000
410122223030321212
534203034444232
62102332122130
7225344404305
oct43253147146
913214757800
104742499942
112014021444
12b04306346
135a76c14ab
1432dbd243c
151cb54027c
hex11aacce66

4742499942 has 80 divisors (see below), whose sum is σ = 10759610400. Its totient is φ = 1561203072.

The previous prime is 4742499929. The next prime is 4742499947. The reversal of 4742499942 is 2499942474.

4742499942 is a `hidden beast` number, since 47 + 424 + 99 + 94 + 2 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4742499947) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 5060898 + ... + 5061834.

It is an arithmetic number, because the mean of its divisors is an integer number (134495130).

Almost surely, 24742499942 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4742499942, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5379805200).

4742499942 is an abundant number, since it is smaller than the sum of its proper divisors (6017110458).

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

4742499942 is a wasteful number, since it uses less digits than its factorization.

4742499942 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1307 (or 1298 counting only the distinct ones).

The product of its digits is 5225472, while the sum is 54.

The square root of 4742499942 is about 68865.8111256957. The cubic root of 4742499942 is about 1680.1025001237.

The spelling of 4742499942 in words is "four billion, seven hundred forty-two million, four hundred ninety-nine thousand, nine hundred forty-two".

Divisors: 1 2 3 6 9 18 27 54 81 157 162 199 314 398 471 597 937 942 1194 1413 1791 1874 2811 2826 3582 4239 5373 5622 8433 8478 10746 12717 16119 16866 25299 25434 31243 32238 50598 62486 75897 93729 147109 151794 186463 187458 281187 294218 372926 441327 559389 562374 843561 882654 1118778 1323981 1678167 1687122 2530683 2647962 3356334 3971943 5034501 5061366 7943886 10069002 11915829 15103503 23831658 29274691 30207006 58549382 87824073 175648146 263472219 526944438 790416657 1580833314 2371249971 4742499942