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4031359542 = 2327192958067
BaseRepresentation
bin1111000001001001…
…1010101000110110
3101101221201021122200
43300102122220312
531224012001132
61504010005330
7201620663550
oct36022325066
911357637580
104031359542
111789663101
12946116846
134c3281462
142a35984d0
15188dbbd7c
hexf049aa36

4031359542 has 96 divisors (see below), whose sum is σ = 10870329600. Its totient is φ = 1053549504.

The previous prime is 4031359517. The next prime is 4031359589. The reversal of 4031359542 is 2459531304.

It is a junction number, because it is equal to n+sod(n) for n = 4031359497 and 4031359506.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 40393 + ... + 98459.

It is an arithmetic number, because the mean of its divisors is an integer number (113232600).

Almost surely, 24031359542 is an apocalyptic number.

4031359542 is a gapful number since it is divisible by the number (42) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 4031359542, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5435164800).

4031359542 is an abundant number, since it is smaller than the sum of its proper divisors (6838970058).

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

4031359542 is a wasteful number, since it uses less digits than its factorization.

4031359542 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 58130 (or 58127 counting only the distinct ones).

The product of its (nonzero) digits is 64800, while the sum is 36.

The square root of 4031359542 is about 63492.9881325489. The cubic root of 4031359542 is about 1591.5386055803.

The spelling of 4031359542 in words is "four billion, thirty-one million, three hundred fifty-nine thousand, five hundred forty-two".

Divisors: 1 2 3 6 7 9 14 18 19 21 29 38 42 57 58 63 87 114 126 133 171 174 203 261 266 342 399 406 522 551 609 798 1102 1197 1218 1653 1827 2394 3306 3654 3857 4959 7714 9918 11571 23142 34713 58067 69426 116134 174201 348402 406469 522603 812938 1045206 1103273 1219407 1683943 2206546 2438814 3309819 3367886 3658221 5051829 6619638 7316442 7722911 9929457 10103658 11787601 15155487 15445822 19858914 23168733 23575202 30310974 31994917 35362803 46337466 63989834 69506199 70725606 95984751 106088409 139012398 191969502 212176818 223964419 287954253 447928838 575908506 671893257 1343786514 2015679771 4031359542