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502474440 = 2335131718947
BaseRepresentation
bin11101111100110…
…010011011001000
31022000111100100110
4131330302123020
52012113140230
6121505434320
715310651026
oct3574623310
91260440313
10502474440
112386a7536
1212033b9a0
1380140470
144aa3b716
152e1a64b0
hex1df326c8

502474440 has 128 divisors (see below), whose sum is σ = 1718962560. Its totient is φ = 116404224.

The previous prime is 502474433. The next prime is 502474451. The reversal of 502474440 is 44474205.

502474440 is digitally balanced in base 6, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a junction number, because it is equal to n+sod(n) for n = 502474398 and 502474407.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 17047 + ... + 35993.

It is an arithmetic number, because the mean of its divisors is an integer number (13429395).

Almost surely, 2502474440 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 502474440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (859481280).

502474440 is an abundant number, since it is smaller than the sum of its proper divisors (1216488120).

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

502474440 is a wasteful number, since it uses less digits than its factorization.

502474440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 18991 (or 18987 counting only the distinct ones).

The product of its (nonzero) digits is 17920, while the sum is 30.

The square root of 502474440 is about 22415.9416487463. The cubic root of 502474440 is about 795.0076815839.

The spelling of 502474440 in words is "five hundred two million, four hundred seventy-four thousand, four hundred forty".

Divisors: 1 2 3 4 5 6 8 10 12 13 15 17 20 24 26 30 34 39 40 51 52 60 65 68 78 85 102 104 120 130 136 156 170 195 204 221 255 260 312 340 390 408 442 510 520 663 680 780 884 1020 1105 1326 1560 1768 2040 2210 2652 3315 4420 5304 6630 8840 13260 18947 26520 37894 56841 75788 94735 113682 151576 189470 227364 246311 284205 322099 378940 454728 492622 568410 644198 738933 757880 966297 985244 1136820 1231555 1288396 1477866 1610495 1932594 1970488 2273640 2463110 2576792 2955732 3220990 3694665 3865188 4187287 4831485 4926220 5911464 6441980 7389330 7730376 8374574 9662970 9852440 12561861 12883960 14778660 16749148 19325940 20936435 25123722 29557320 33498296 38651880 41872870 50247444 62809305 83745740 100494888 125618610 167491480 251237220 502474440