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42001428 = 22372611171
BaseRepresentation
bin1010000000111…
…0010000010100
32221000220010110
42200032100110
541223021203
64100123020
71020002100
oct240162024
987026113
1042001428
1121788327
1212096470
138917821
145814900
153a49d03
hex280e414

42001428 has 72 divisors (see below), whose sum is σ = 115971744. Its totient is φ = 11793600.

The previous prime is 42001397. The next prime is 42001447. The reversal of 42001428 is 82410024.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 35283 + ... + 36453.

Almost surely, 242001428 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 42001428, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (57985872).

42001428 is an abundant number, since it is smaller than the sum of its proper divisors (73970316).

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

42001428 is a wasteful number, since it uses less digits than its factorization.

42001428 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1253 (or 1244 counting only the distinct ones).

The product of its (nonzero) digits is 512, while the sum is 21.

The square root of 42001428 is about 6480.8508700633. The cubic root of 42001428 is about 347.6066039409.

The spelling of 42001428 in words is "forty-two million, one thousand, four hundred twenty-eight".

Divisors: 1 2 3 4 6 7 12 14 21 28 42 49 61 84 98 122 147 183 196 244 294 366 427 588 732 854 1171 1281 1708 2342 2562 2989 3513 4684 5124 5978 7026 8197 8967 11956 14052 16394 17934 24591 32788 35868 49182 57379 71431 98364 114758 142862 172137 214293 229516 285724 344274 428586 500017 688548 857172 1000034 1500051 2000068 3000102 3500119 6000204 7000238 10500357 14000476 21000714 42001428