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428030892 = 2237113433
BaseRepresentation
bin11001100000110…
…011101110101100
31002211102020000000
4121200303232230
51334033442032
6110250104300
713415126322
oct3140635654
91084366000
10428030892
111aa680a43
12bb41b090
136a8a7223
1440bbdd12
152789de7c
hex19833bac

428030892 has 96 divisors (see below), whose sum is σ = 1135968960. Its totient is φ = 141087744.

The previous prime is 428030887. The next prime is 428030893. The reversal of 428030892 is 298030824.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (428030893) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 988308 + ... + 988740.

It is an arithmetic number, because the mean of its divisors is an integer number (11833010).

Almost surely, 2428030892 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 428030892, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (567984480).

428030892 is an abundant number, since it is smaller than the sum of its proper divisors (707938068).

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

428030892 is a wasteful number, since it uses less digits than its factorization.

428030892 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 571 (or 551 counting only the distinct ones).

The product of its (nonzero) digits is 27648, while the sum is 36.

The square root of 428030892 is about 20688.9074626960. The cubic root of 428030892 is about 753.6303352023.

The spelling of 428030892 in words is "four hundred twenty-eight million, thirty thousand, eight hundred ninety-two".

Divisors: 1 2 3 4 6 9 12 18 27 36 54 81 108 113 162 226 243 324 339 433 452 486 678 729 866 972 1017 1299 1356 1458 1732 2034 2187 2598 2916 3051 3897 4068 4374 5196 6102 7794 8748 9153 11691 12204 15588 18306 23382 27459 35073 36612 46764 48929 54918 70146 82377 97858 105219 109836 140292 146787 164754 195716 210438 247131 293574 315657 329508 420876 440361 494262 587148 631314 880722 946971 988524 1262628 1321083 1761444 1893942 2642166 3787884 3963249 5284332 7926498 11889747 15852996 23779494 35669241 47558988 71338482 107007723 142676964 214015446 428030892