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428066772 = 223713033911
BaseRepresentation
bin11001100000111…
…100011111010100
31002211111001012220
4121200330133110
51334041114042
6110250542340
713415336040
oct3140743724
91084431186
10428066772
111aa6a59a1
12bb4379b0
136a8ba663
1440bcd020
15278a98ec
hex1983c7d4

428066772 has 48 divisors (see below), whose sum is σ = 1142679552. Its totient is φ = 122179680.

The previous prime is 428066761. The next prime is 428066803. The reversal of 428066772 is 277660824.

It is a super-2 number, since 2×4280667722 = 366482322580999968, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a congruent 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, 107497 + ... + 111407.

It is an arithmetic number, because the mean of its divisors is an integer number (23805824).

Almost surely, 2428066772 is an apocalyptic number.

428066772 is a gapful number since it is divisible by the number (42) formed by its first and last digit.

It is an amenable number.

428066772 is an abundant number, since it is smaller than the sum of its proper divisors (714612780).

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

428066772 is a wasteful number, since it uses less digits than its factorization.

428066772 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5228 (or 5226 counting only the distinct ones).

The product of its (nonzero) digits is 225792, while the sum is 42.

The square root of 428066772 is about 20689.7745758623. The cubic root of 428066772 is about 753.6513924837.

The spelling of 428066772 in words is "four hundred twenty-eight million, sixty-six thousand, seven hundred seventy-two".

Divisors: 1 2 3 4 6 7 12 14 21 28 42 84 1303 2606 3909 3911 5212 7818 7822 9121 11733 15636 15644 18242 23466 27363 27377 36484 46932 54726 54754 82131 109452 109508 164262 328524 5096033 10192066 15288099 20384132 30576198 35672231 61152396 71344462 107016693 142688924 214033386 428066772