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2424428010 = 2365332569
BaseRepresentation
bin1001000010000001…
…1101010111101010
320020221222201000000
42100200131113222
514431123144020
61040323523430
7114036204144
oct22040352752
96227881000
102424428010
111034587714
12577b29576
132c838c6b4
1418ddbbc94
15e2c9e090
hex9081d5ea

2424428010 has 56 divisors (see below), whose sum is σ = 6542982180. Its totient is φ = 646512192.

The previous prime is 2424427969. The next prime is 2424428023. The reversal of 2424428010 is 108244242.

It can be written as a sum of positive squares in 2 ways, for example, as 2276148681 + 148279329 = 47709^2 + 12177^2 .

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

It is an unprimeable number.

It is a polite number, since it can be written in 27 ways as a sum of consecutive naturals, for example, 158995 + ... + 173574.

Almost surely, 22424428010 is an apocalyptic number.

2424428010 is an abundant number, since it is smaller than the sum of its proper divisors (4118554170).

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

2424428010 is an equidigital number, since it uses as much as digits as its factorization.

2424428010 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 332594 (or 332579 counting only the distinct ones).

The product of its (nonzero) digits is 4096, while the sum is 27.

The square root of 2424428010 is about 49238.4809879428. The cubic root of 2424428010 is about 1343.3930514384.

The spelling of 2424428010 in words is "two billion, four hundred twenty-four million, four hundred twenty-eight thousand, ten".

Divisors: 1 2 3 5 6 9 10 15 18 27 30 45 54 81 90 135 162 243 270 405 486 729 810 1215 1458 2430 3645 7290 332569 665138 997707 1662845 1995414 2993121 3325690 4988535 5986242 8979363 9977070 14965605 17958726 26938089 29931210 44896815 53876178 80814267 89793630 134690445 161628534 242442801 269380890 404071335 484885602 808142670 1212214005 2424428010