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499878960 = 24357674441
BaseRepresentation
bin11101110010111…
…000110000110000
31021211121111000120
4131302320300300
52010432111320
6121334050240
715246621030
oct3562706060
91254544016
10499878960
11237194509
1211b4a9980
137c741c89
144a5638c0
152dd42440
hex1dcb8c30

499878960 has 160 divisors (see below), whose sum is σ = 1797837312. Its totient is φ = 112527360.

The previous prime is 499878959. The next prime is 499878971. The reversal of 499878960 is 69878994.

It is a Harshad number since it is a multiple of its sum of digits (60).

It is a junction number, because it is equal to n+sod(n) for n = 499878894 and 499878903.

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, 110340 + ... + 114780.

Almost surely, 2499878960 is an apocalyptic number.

499878960 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 499878960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (898918656).

499878960 is an abundant number, since it is smaller than the sum of its proper divisors (1297958352).

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

499878960 is a wasteful number, since it uses less digits than its factorization.

499878960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4531 (or 4525 counting only the distinct ones).

The product of its (nonzero) digits is 7838208, while the sum is 60.

The square root of 499878960 is about 22357.9730744985. The cubic root of 499878960 is about 793.6364744742.

The spelling of 499878960 in words is "four hundred ninety-nine million, eight hundred seventy-eight thousand, nine hundred sixty".

Divisors: 1 2 3 4 5 6 7 8 10 12 14 15 16 20 21 24 28 30 35 40 42 48 56 60 67 70 80 84 105 112 120 134 140 168 201 210 240 268 280 335 336 402 420 469 536 560 670 804 840 938 1005 1072 1340 1407 1608 1680 1876 2010 2345 2680 2814 3216 3752 4020 4441 4690 5360 5628 7035 7504 8040 8882 9380 11256 13323 14070 16080 17764 18760 22205 22512 26646 28140 31087 35528 37520 44410 53292 56280 62174 66615 71056 88820 93261 106584 112560 124348 133230 155435 177640 186522 213168 248696 266460 297547 310870 355280 373044 466305 497392 532920 595094 621740 746088 892641 932610 1065840 1190188 1243480 1487735 1492176 1785282 1865220 2082829 2380376 2486960 2975470 3570564 3730440 4165658 4463205 4760752 5950940 6248487 7141128 7460880 8331316 8926410 10414145 11901880 12496974 14282256 16662632 17852820 20828290 23803760 24993948 31242435 33325264 35705640 41656580 49987896 62484870 71411280 83313160 99975792 124969740 166626320 249939480 499878960