Search a number
-
+
442679391 = 33711712999
BaseRepresentation
bin11010011000101…
…100000001011111
31010211222102222000
4122120230001133
51401311220031
6111532053343
713653466320
oct3230540137
91124872860
10442679391
11207976640
12104304253
137093588b
1442b14447
1528ce43e6
hex1a62c05f

442679391 has 64 divisors (see below), whose sum is σ = 829440000. Its totient is φ = 226648800.

The previous prime is 442679389. The next prime is 442679401. The reversal of 442679391 is 193976244.

It is a happy number.

It is not a de Polignac number, because 442679391 - 21 = 442679389 is a prime.

It is a super-2 number, since 2×4426793912 = 391930086432261762, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (442679381) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 146110 + ... + 149108.

It is an arithmetic number, because the mean of its divisors is an integer number (12960000).

Almost surely, 2442679391 is an apocalyptic number.

442679391 is a deficient number, since it is larger than the sum of its proper divisors (386760609).

442679391 is a wasteful number, since it uses less digits than its factorization.

442679391 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3097 (or 3091 counting only the distinct ones).

The product of its digits is 326592, while the sum is 45.

The square root of 442679391 is about 21039.9475046874. The cubic root of 442679391 is about 762.1312471552.

The spelling of 442679391 in words is "four hundred forty-two million, six hundred seventy-nine thousand, three hundred ninety-one".

Divisors: 1 3 7 9 11 21 27 33 63 71 77 99 189 213 231 297 497 639 693 781 1491 1917 2079 2343 2999 4473 5467 7029 8997 13419 16401 20993 21087 26991 32989 49203 62979 80973 98967 147609 188937 212929 230923 296901 566811 638787 692769 890703 1490503 1916361 2078307 2342219 4471509 5749083 6234921 7026657 13414527 16395533 21079971 40243581 49186599 63239913 147559797 442679391