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502020096 = 2113101809
BaseRepresentation
bin11101111011000…
…011100000000000
31021222122021002220
4131323003200000
52012004120341
6121452011040
715304046304
oct3573034000
91258567086
10502020096
11238417146
12120160a80
1380011716
144a95dd04
152e116a66
hex1dec3800

502020096 has 96 divisors (see below), whose sum is σ = 1353315600. Its totient is φ = 165478400.

The previous prime is 502020067. The next prime is 502020121. The reversal of 502020096 is 690020205.

It is a tau number, because it is divible by the number of its divisors (96).

It is a hoax number, since the sum of its digits (24) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (24).

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, 620140 + ... + 620948.

Almost surely, 2502020096 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 502020096, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (676657800).

502020096 is an abundant number, since it is smaller than the sum of its proper divisors (851295504).

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

502020096 is a wasteful number, since it uses less digits than its factorization.

502020096 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 935 (or 915 counting only the distinct ones).

The product of its (nonzero) digits is 1080, while the sum is 24.

The square root of 502020096 is about 22405.8049621075. The cubic root of 502020096 is about 794.7679905235.

The spelling of 502020096 in words is "five hundred two million, twenty thousand, ninety-six".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 64 96 101 128 192 202 256 303 384 404 512 606 768 808 809 1024 1212 1536 1616 1618 2048 2424 2427 3072 3232 3236 4848 4854 6144 6464 6472 9696 9708 12928 12944 19392 19416 25856 25888 38784 38832 51712 51776 77568 77664 81709 103424 103552 155136 155328 163418 206848 207104 245127 310272 310656 326836 414208 490254 620544 621312 653672 828416 980508 1242624 1307344 1656832 1961016 2485248 2614688 3922032 4970496 5229376 7844064 10458752 15688128 20917504 31376256 41835008 62752512 83670016 125505024 167340032 251010048 502020096