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500704416 = 2535193389
BaseRepresentation
bin11101110110000…
…010010010100000
31021220011102100000
4131312002102200
52011140020131
6121403500000
715256626432
oct3566022240
91256142300
10500704416
112376a8703
1211b827600
137c970904
144a6da652
152de56ce6
hex1dd824a0

500704416 has 144 divisors (see below), whose sum is σ = 1554789600. Its totient is φ = 158070528.

The previous prime is 500704403. The next prime is 500704429. The reversal of 500704416 is 614407005.

It is an interprime number because it is at equal distance from previous prime (500704403) and next prime (500704429).

It is a tau number, because it is divible by the number of its divisors (144).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a self number, because there is not a number n which added to its sum of digits gives 500704416.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 146050 + ... + 149438.

It is an arithmetic number, because the mean of its divisors is an integer number (10797150).

Almost surely, 2500704416 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 500704416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (777394800).

500704416 is an abundant number, since it is smaller than the sum of its proper divisors (1054085184).

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

500704416 is a wasteful number, since it uses less digits than its factorization.

500704416 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3433 (or 3413 counting only the distinct ones).

The product of its (nonzero) digits is 3360, while the sum is 27.

The square root of 500704416 is about 22376.4254518008. The cubic root of 500704416 is about 794.0730813160.

The spelling of 500704416 in words is "five hundred million, seven hundred four thousand, four hundred sixteen".

Divisors: 1 2 3 4 6 8 9 12 16 18 19 24 27 32 36 38 48 54 57 72 76 81 96 108 114 144 152 162 171 216 228 243 288 304 324 342 432 456 486 513 608 648 684 864 912 972 1026 1296 1368 1539 1824 1944 2052 2592 2736 3078 3389 3888 4104 4617 5472 6156 6778 7776 8208 9234 10167 12312 13556 16416 18468 20334 24624 27112 30501 36936 40668 49248 54224 61002 64391 73872 81336 91503 108448 122004 128782 147744 162672 183006 193173 244008 257564 274509 325344 366012 386346 488016 515128 549018 579519 732024 772692 823527 976032 1030256 1098036 1159038 1464048 1545384 1647054 1738557 2060512 2196072 2318076 2928096 3090768 3294108 3477114 4392144 4636152 5215671 6181536 6588216 6954228 8784288 9272304 10431342 13176432 13908456 15647013 18544608 20862684 26352864 27816912 31294026 41725368 55633824 62588052 83450736 125176104 166901472 250352208 500704416