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428983164 = 223241509571
BaseRepresentation
bin11001100100011…
…100001101111100
31002220012121021100
4121210130031330
51334304430124
6110322333100
713426203531
oct3144341574
91086177240
10428983164
11200171445
12bb7ba190
136ab4b7bc
1440d8ad88
15279db1c9
hex1991c37c

428983164 has 72 divisors (see below), whose sum is σ = 1114953840. Its totient is φ = 138988800.

The previous prime is 428983157. The next prime is 428983169. The reversal of 428983164 is 461389824.

It is a happy number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (428983169) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 750999 + ... + 751569.

It is an arithmetic number, because the mean of its divisors is an integer number (15485470).

Almost surely, 2428983164 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 428983164, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (557476920).

428983164 is an abundant number, since it is smaller than the sum of its proper divisors (685970676).

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

428983164 is a wasteful number, since it uses less digits than its factorization.

428983164 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1131 (or 1126 counting only the distinct ones).

The product of its digits is 331776, while the sum is 45.

The square root of 428983164 is about 20711.9087483505. The cubic root of 428983164 is about 754.1888069743.

The spelling of 428983164 in words is "four hundred twenty-eight million, nine hundred eighty-three thousand, one hundred sixty-four".

Divisors: 1 2 3 4 6 9 12 18 36 41 82 123 164 246 369 492 509 571 738 1018 1142 1476 1527 1713 2036 2284 3054 3426 4581 5139 6108 6852 9162 10278 18324 20556 20869 23411 41738 46822 62607 70233 83476 93644 125214 140466 187821 210699 250428 280932 290639 375642 421398 581278 751284 842796 871917 1162556 1743834 2615751 3487668 5231502 10463004 11916199 23832398 35748597 47664796 71497194 107245791 142994388 214491582 428983164