Search a number
-
+
502350040 = 23531412241
BaseRepresentation
bin11101111100010…
…100000011011000
31022000021000201001
4131330110003120
52012100200130
6121503034344
715306622243
oct3574240330
91260230631
10502350040
11238622025
1212029b9b4
13800c895a
144aa0825a
152e17e6ca
hex1df140d8

502350040 has 96 divisors (see below), whose sum is σ = 1200862080. Its totient is φ = 188928000.

The previous prime is 502350007. The next prime is 502350041. The reversal of 502350040 is 40053205.

It is a happy number.

It is a super-3 number, since 3×5023500403 (a number of 27 digits) contains 333 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (502350041) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2084320 + ... + 2084560.

It is an arithmetic number, because the mean of its divisors is an integer number (12508980).

Almost surely, 2502350040 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 502350040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (600431040).

502350040 is an abundant number, since it is smaller than the sum of its proper divisors (698512040).

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

502350040 is a wasteful number, since it uses less digits than its factorization.

502350040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 365 (or 320 counting only the distinct ones).

The product of its (nonzero) digits is 600, while the sum is 19.

The square root of 502350040 is about 22413.1666660470. The cubic root of 502350040 is about 794.9420682177.

The spelling of 502350040 in words is "five hundred two million, three hundred fifty thousand, forty".

Divisors: 1 2 4 5 8 10 20 31 40 41 62 82 124 155 164 205 241 248 310 328 410 482 620 820 964 1205 1240 1271 1640 1681 1928 2410 2542 3362 4820 5084 6355 6724 7471 8405 9640 9881 10168 12710 13448 14942 16810 19762 25420 29884 33620 37355 39524 49405 50840 52111 59768 67240 74710 79048 98810 104222 149420 197620 208444 260555 298840 306311 395240 405121 416888 521110 612622 810242 1042220 1225244 1531555 1620484 2025605 2084440 2450488 3063110 3240968 4051210 6126220 8102420 12252440 12558751 16204840 25117502 50235004 62793755 100470008 125587510 251175020 502350040