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428267466 = 23311898101
BaseRepresentation
bin11001100001101…
…101011111001010
31002211212020112000
4121201231133022
51334114024331
6110255131430
713420133124
oct3141553712
91084766460
10428267466
111aa822760
12bb513b76
136a95ab03
1440c42214
15278e90e6
hex1986d7ca

428267466 has 64 divisors (see below), whose sum is σ = 1050019200. Its totient is φ = 128304000.

The previous prime is 428267459. The next prime is 428267473. The reversal of 428267466 is 664762824.

It is an interprime number because it is at equal distance from previous prime (428267459) and next prime (428267473).

It is a super-2 number, since 2×4282674662 = 366826044868122312, which contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 48816 + ... + 56916.

It is an arithmetic number, because the mean of its divisors is an integer number (16406550).

Almost surely, 2428267466 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 428267466, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (525009600).

428267466 is an abundant number, since it is smaller than the sum of its proper divisors (621751734).

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

428267466 is a wasteful number, since it uses less digits than its factorization.

428267466 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8212 (or 8206 counting only the distinct ones).

The product of its digits is 774144, while the sum is 45.

The square root of 428267466 is about 20694.6240845298. The cubic root of 428267466 is about 753.7691542371.

The spelling of 428267466 in words is "four hundred twenty-eight million, two hundred sixty-seven thousand, four hundred sixty-six".

Divisors: 1 2 3 6 9 11 18 22 27 33 54 66 89 99 178 198 267 297 534 594 801 979 1602 1958 2403 2937 4806 5874 8101 8811 16202 17622 24303 26433 48606 52866 72909 89111 145818 178222 218727 267333 437454 534666 720989 801999 1441978 1603998 2162967 2405997 4325934 4811994 6488901 7930879 12977802 15861758 19466703 23792637 38933406 47585274 71377911 142755822 214133733 428267466