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460985742 = 2347406513
BaseRepresentation
bin11011011110100…
…001010110001110
31012010102111120000
4123132201112032
51421003020432
6113424305130
714265212520
oct3336412616
91163374500
10460985742
1121723a458
1210a4721a6
1374675139
144531ba10
152a70d57c
hex1b7a158e

460985742 has 40 divisors (see below), whose sum is σ = 1180516656. Its totient is φ = 131709888.

The previous prime is 460985741. The next prime is 460985773. The reversal of 460985742 is 247589064.

It is a happy number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (460985741) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 202123 + ... + 204390.

Almost surely, 2460985742 is an apocalyptic number.

460985742 is a gapful number since it is divisible by the number (42) formed by its first and last digit.

460985742 is an abundant number, since it is smaller than the sum of its proper divisors (719530914).

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

460985742 is a wasteful number, since it uses less digits than its factorization.

460985742 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 406534 (or 406525 counting only the distinct ones).

The product of its (nonzero) digits is 483840, while the sum is 45.

The square root of 460985742 is about 21470.5785203846. The cubic root of 460985742 is about 772.4952737952.

The spelling of 460985742 in words is "four hundred sixty million, nine hundred eighty-five thousand, seven hundred forty-two".

Divisors: 1 2 3 6 7 9 14 18 21 27 42 54 63 81 126 162 189 378 567 1134 406513 813026 1219539 2439078 2845591 3658617 5691182 7317234 8536773 10975851 17073546 21951702 25610319 32927553 51220638 65855106 76830957 153661914 230492871 460985742