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428339142 = 2327111991553
BaseRepresentation
bin11001100001111…
…110111111000110
31002211222212211200
4121201332333012
51334123323032
6110300443330
713420552110
oct3141767706
91084885750
10428339142
111aa8715a0
12bb549546
136a98461a
1440c603b0
152791047c
hex1987efc6

428339142 has 96 divisors (see below), whose sum is σ = 1163635200. Its totient is φ = 110626560.

The previous prime is 428339137. The next prime is 428339147. The reversal of 428339142 is 241933824.

It is an interprime number because it is at equal distance from previous prime (428339137) and next prime (428339147).

It is a junction number, because it is equal to n+sod(n) for n = 428339097 and 428339106.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (428339147) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 275038 + ... + 276590.

It is an arithmetic number, because the mean of its divisors is an integer number (12121200).

Almost surely, 2428339142 is an apocalyptic number.

428339142 is a gapful number since it is divisible by the number (42) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 428339142, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (581817600).

428339142 is an abundant number, since it is smaller than the sum of its proper divisors (735296058).

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

428339142 is a wasteful number, since it uses less digits than its factorization.

428339142 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1778 (or 1775 counting only the distinct ones).

The product of its digits is 41472, while the sum is 36.

The square root of 428339142 is about 20696.3557661729. The cubic root of 428339142 is about 753.8112028387.

The spelling of 428339142 in words is "four hundred twenty-eight million, three hundred thirty-nine thousand, one hundred forty-two".

Divisors: 1 2 3 6 7 9 11 14 18 21 22 33 42 63 66 77 99 126 154 198 199 231 398 462 597 693 1194 1386 1393 1553 1791 2189 2786 3106 3582 4179 4378 4659 6567 8358 9318 10871 12537 13134 13977 15323 17083 19701 21742 25074 27954 30646 32613 34166 39402 45969 51249 65226 91938 97839 102498 119581 137907 153747 195678 239162 275814 307494 309047 358743 618094 717486 927141 1076229 1854282 2152458 2163329 2781423 3399517 4326658 5562846 6489987 6799034 10198551 12979974 19469961 20397102 23796619 30595653 38939922 47593238 61191306 71389857 142779714 214169571 428339142