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467380242 = 232731119657
BaseRepresentation
bin11011110110111…
…010100000010010
31012120110101011100
4123312322200102
51424122131432
6114213325230
714403444420
oct3366724022
91176411140
10467380242
1121a90776a
12110636816
1375aa3874
1446104110
152b07307c
hex1bdba812

467380242 has 48 divisors (see below), whose sum is σ = 1194665472. Its totient is φ = 129228480.

The previous prime is 467380229. The next prime is 467380253. The reversal of 467380242 is 242083764.

It is a super-2 number, since 2×4673802422 = 436888581223957128, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 467380197 and 467380206.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 55923 + ... + 63734.

It is an arithmetic number, because the mean of its divisors is an integer number (24888864).

Almost surely, 2467380242 is an apocalyptic number.

467380242 is a gapful number since it is divisible by the number (42) formed by its first and last digit.

467380242 is an abundant number, since it is smaller than the sum of its proper divisors (727285230).

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

467380242 is a wasteful number, since it uses less digits than its factorization.

467380242 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 119703 (or 119700 counting only the distinct ones).

The product of its (nonzero) digits is 64512, while the sum is 36.

The square root of 467380242 is about 21618.9787455374. The cubic root of 467380242 is about 776.0507382154.

The spelling of 467380242 in words is "four hundred sixty-seven million, three hundred eighty thousand, two hundred forty-two".

Divisors: 1 2 3 6 7 9 14 18 21 31 42 62 63 93 126 186 217 279 434 558 651 1302 1953 3906 119657 239314 358971 717942 837599 1076913 1675198 2153826 2512797 3709367 5025594 7418734 7538391 11128101 15076782 22256202 25965569 33384303 51931138 66768606 77896707 155793414 233690121 467380242