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631015242 = 2311213237139
BaseRepresentation
bin100101100111001…
…000011101001010
31121222100220011220
4211213020131022
52243014441432
6142340502510
721431353404
oct4547103512
91558326156
10631015242
112a4212100
121573aaa36
13a0967a00
145db3bb74
153a5e772c
hex259c874a

631015242 has 144 divisors (see below), whose sum is σ = 1553801760. Its totient is φ = 170501760.

The previous prime is 631015241. The next prime is 631015247. The reversal of 631015242 is 242510136.

It is not an unprimeable number, because it can be changed into a prime (631015241) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 4539609 + ... + 4539747.

It is an arithmetic number, because the mean of its divisors is an integer number (10790290).

Almost surely, 2631015242 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 631015242, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (776900880).

631015242 is an abundant number, since it is smaller than the sum of its proper divisors (922786518).

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

631015242 is a wasteful number, since it uses less digits than its factorization.

631015242 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 229 (or 205 counting only the distinct ones).

The product of its (nonzero) digits is 1440, while the sum is 24.

The square root of 631015242 is about 25120.0167595485. The cubic root of 631015242 is about 857.7221322430.

Adding to 631015242 its reverse (242510136), we get a palindrome (873525378).

The spelling of 631015242 in words is "six hundred thirty-one million, fifteen thousand, two hundred forty-two".

Divisors: 1 2 3 6 11 13 22 26 33 37 39 66 74 78 111 121 139 143 169 222 242 278 286 338 363 407 417 429 481 507 726 814 834 858 962 1014 1221 1443 1529 1573 1807 1859 2442 2886 3058 3146 3614 3718 4477 4587 4719 5143 5291 5421 5577 6253 8954 9174 9438 10286 10582 10842 11154 12506 13431 15429 15873 16819 18759 19877 20449 23491 26862 30858 31746 33638 37518 39754 40898 46982 50457 56573 58201 59631 61347 66859 68783 70473 100914 113146 116402 119262 122694 133718 137566 140946 169719 174603 200577 206349 218647 258401 339438 349206 401154 412698 437294 516802 622303 655941 735449 756613 775203 869167 1244606 1311882 1470898 1513226 1550406 1738334 1866909 2206347 2269839 2607501 2842411 3733818 4412694 4539678 5215002 5684822 8089939 8527233 9560837 16179878 17054466 19121674 24269817 28682511 48539634 57365022 105169207 210338414 315507621 631015242