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57398814 = 23311711361
BaseRepresentation
bin1101101011110…
…1011000011110
311000000011101000
43122331120132
5104143230224
65410131130
71264611324
oct332753036
9130004330
1057398814
112a444640
1217280aa6
13bb78cc5
1478a1d14
15508c0c9
hex36bd61e

57398814 has 64 divisors (see below), whose sum is σ = 141212160. Its totient is φ = 17136000.

The previous prime is 57398807. The next prime is 57398821. The reversal of 57398814 is 41889375.

It is an interprime number because it is at equal distance from previous prime (57398807) and next prime (57398821).

It is a self number, because there is not a number n which added to its sum of digits gives 57398814.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 41494 + ... + 42854.

It is an arithmetic number, because the mean of its divisors is an integer number (2206440).

Almost surely, 257398814 is an apocalyptic number.

57398814 is a gapful number since it is divisible by the number (54) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 57398814, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (70606080).

57398814 is an abundant number, since it is smaller than the sum of its proper divisors (83813346).

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

57398814 is a wasteful number, since it uses less digits than its factorization.

57398814 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1454 (or 1448 counting only the distinct ones).

The product of its digits is 241920, while the sum is 45.

The square root of 57398814 is about 7576.2004989308. The cubic root of 57398814 is about 385.7455928733.

The spelling of 57398814 in words is "fifty-seven million, three hundred ninety-eight thousand, eight hundred fourteen".

Divisors: 1 2 3 6 9 11 18 22 27 33 54 66 71 99 142 198 213 297 426 594 639 781 1278 1361 1562 1917 2343 2722 3834 4083 4686 7029 8166 12249 14058 14971 21087 24498 29942 36747 42174 44913 73494 89826 96631 134739 193262 269478 289893 404217 579786 808434 869679 1062941 1739358 2125882 2609037 3188823 5218074 6377646 9566469 19132938 28699407 57398814