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442135506 = 23971674549
BaseRepresentation
bin11010010110100…
…111001111010010
31010210221210220010
4122112213033102
51401141314011
6111512255350
713646042541
oct3226471722
91123853803
10442135506
11207634a4a
121040a1556
13707a5157
1442a12158
1528c381a6
hex1a5a73d2

442135506 has 32 divisors (see below), whose sum is σ = 898934400. Its totient is φ = 144953856.

The previous prime is 442135483. The next prime is 442135511. The reversal of 442135506 is 605531244.

It is a Curzon number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 94920 + ... + 99468.

It is an arithmetic number, because the mean of its divisors is an integer number (28091700).

Almost surely, 2442135506 is an apocalyptic number.

442135506 is an abundant number, since it is smaller than the sum of its proper divisors (456798894).

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

442135506 is a wasteful number, since it uses less digits than its factorization.

442135506 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4818.

The product of its (nonzero) digits is 14400, while the sum is 30.

The square root of 442135506 is about 21027.0184762367. The cubic root of 442135506 is about 761.8189958683.

The spelling of 442135506 in words is "four hundred forty-two million, one hundred thirty-five thousand, five hundred six".

Divisors: 1 2 3 6 97 167 194 291 334 501 582 1002 4549 9098 13647 16199 27294 32398 48597 97194 441253 759683 882506 1323759 1519366 2279049 2647518 4558098 73689251 147378502 221067753 442135506