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500077272 = 233434211151
BaseRepresentation
bin11101110011101…
…001001011011000
31021211222120001110
4131303221023120
52011004433042
6121342220320
715251405142
oct3563511330
91254876043
10500077272
1123730a502
1211b5846a0
137c7b1316
144a5b5c92
152dd8109c
hex1dce92d8

500077272 has 64 divisors (see below), whose sum is σ = 1283420160. Its totient is φ = 162288000.

The previous prime is 500077267. The next prime is 500077273. The reversal of 500077272 is 272770005.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (500077273) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 433897 + ... + 435047.

It is an arithmetic number, because the mean of its divisors is an integer number (20053440).

Almost surely, 2500077272 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 500077272, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (641710080).

500077272 is an abundant number, since it is smaller than the sum of its proper divisors (783342888).

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

500077272 is a wasteful number, since it uses less digits than its factorization.

500077272 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1624 (or 1620 counting only the distinct ones).

The product of its (nonzero) digits is 6860, while the sum is 30.

The square root of 500077272 is about 22362.4075626932. The cubic root of 500077272 is about 793.7414110960.

The spelling of 500077272 in words is "five hundred million, seventy-seven thousand, two hundred seventy-two".

Divisors: 1 2 3 4 6 8 12 24 43 86 129 172 258 344 421 516 842 1032 1151 1263 1684 2302 2526 3368 3453 4604 5052 6906 9208 10104 13812 18103 27624 36206 49493 54309 72412 98986 108618 144824 148479 197972 217236 296958 395944 434472 484571 593916 969142 1187832 1453713 1938284 2907426 3876568 5814852 11629704 20836553 41673106 62509659 83346212 125019318 166692424 250038636 500077272