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426002742 = 232117329473
BaseRepresentation
bin11001011001000…
…100100100110110
31002200121011220100
4121121010210312
51333024041432
6110134414530
713361651334
oct3131044466
91080534810
10426002742
111a9516190
12ba801446
136a347039
1440812b54
15275ed07c
hex19644936

426002742 has 48 divisors (see below), whose sum is σ = 1020743568. Its totient is φ = 127319040.

The previous prime is 426002723. The next prime is 426002761. The reversal of 426002742 is 247200624.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (426002723) and next prime (426002761).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 283 + ... + 29190.

It is an arithmetic number, because the mean of its divisors is an integer number (21265491).

Almost surely, 2426002742 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 426002742, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (510371784).

426002742 is an abundant number, since it is smaller than the sum of its proper divisors (594740826).

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

426002742 is a wasteful number, since it uses less digits than its factorization.

426002742 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 29565 (or 29562 counting only the distinct ones).

The product of its (nonzero) digits is 5376, while the sum is 27.

The square root of 426002742 is about 20639.8338656104. The cubic root of 426002742 is about 752.4381347432.

The spelling of 426002742 in words is "four hundred twenty-six million, two thousand, seven hundred forty-two".

Divisors: 1 2 3 6 9 11 18 22 33 66 73 99 146 198 219 438 657 803 1314 1606 2409 4818 7227 14454 29473 58946 88419 176838 265257 324203 530514 648406 972609 1945218 2151529 2917827 4303058 5835654 6454587 12909174 19363761 23666819 38727522 47333638 71000457 142000914 213001371 426002742