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500563968 = 21731967
BaseRepresentation
bin11101110101100…
…000000000000000
31021212220021200020
4131311200000000
52011121021333
6121400453440
715255503112
oct3565400000
91255807606
10500563968
11237612133
1211b77a280
137c9219c8
144a6a13b2
152de2a3b3
hex1dd60000

500563968 has 144 divisors (see below), whose sum is σ = 1426057920. Its totient is φ = 155713536.

The previous prime is 500563883. The next prime is 500563981. The reversal of 500563968 is 869365005.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 7471071 + ... + 7471137.

It is an arithmetic number, because the mean of its divisors is an integer number (9903180).

Almost surely, 2500563968 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 500563968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (713028960).

500563968 is an abundant number, since it is smaller than the sum of its proper divisors (925493952).

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

500563968 is an frugal number, since it uses more digits than its factorization.

500563968 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 123 (or 91 counting only the distinct ones).

The product of its (nonzero) digits is 194400, while the sum is 42.

The square root of 500563968 is about 22373.2869288355. The cubic root of 500563968 is about 793.9988283224.

The spelling of 500563968 in words is "five hundred million, five hundred sixty-three thousand, nine hundred sixty-eight".

Divisors: 1 2 3 4 6 8 12 16 19 24 32 38 48 57 64 67 76 96 114 128 134 152 192 201 228 256 268 304 384 402 456 512 536 608 768 804 912 1024 1072 1216 1273 1536 1608 1824 2048 2144 2432 2546 3072 3216 3648 3819 4096 4288 4864 5092 6144 6432 7296 7638 8192 8576 9728 10184 12288 12864 14592 15276 16384 17152 19456 20368 24576 25728 29184 30552 32768 34304 38912 40736 49152 51456 58368 61104 65536 68608 77824 81472 98304 102912 116736 122208 131072 137216 155648 162944 196608 205824 233472 244416 274432 311296 325888 393216 411648 466944 488832 548864 622592 651776 823296 933888 977664 1097728 1245184 1303552 1646592 1867776 1955328 2195456 2490368 2607104 3293184 3735552 3910656 4390912 5214208 6586368 7471104 7821312 8781824 10428416 13172736 15642624 20856832 26345472 31285248 41713664 62570496 83427328 125140992 166854656 250281984 500563968