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57889350 = 23352137313
BaseRepresentation
bin1101110011010…
…1001001000110
311000221002021000
43130311021012
5104304424400
65424434130
71302023421
oct334651106
9130832230
1057889350
112a74a142
1217478946
13bcbb36c
14798c9b8
155137600
hex3735246

57889350 has 96 divisors (see below), whose sum is σ = 161195040. Its totient is φ = 15275520.

The previous prime is 57889339. The next prime is 57889361. The reversal of 57889350 is 5398875.

57889350 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (57889339) and next prime (57889361).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a junction number, because it is equal to n+sod(n) for n = 57889296 and 57889305.

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 47 ways as a sum of consecutive naturals, for example, 184794 + ... + 185106.

It is an arithmetic number, because the mean of its divisors is an integer number (1679115).

Almost surely, 257889350 is an apocalyptic number.

57889350 is a gapful number since it is divisible by the number (50) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 57889350, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (80597520).

57889350 is an abundant number, since it is smaller than the sum of its proper divisors (103305690).

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

57889350 is a wasteful number, since it uses less digits than its factorization.

57889350 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 471 (or 460 counting only the distinct ones).

The product of its (nonzero) digits is 302400, while the sum is 45.

The square root of 57889350 is about 7608.5051094154. The cubic root of 57889350 is about 386.8413507515.

The spelling of 57889350 in words is "fifty-seven million, eight hundred eighty-nine thousand, three hundred fifty".

Divisors: 1 2 3 5 6 9 10 15 18 25 27 30 45 50 54 75 90 135 137 150 225 270 274 313 411 450 626 675 685 822 939 1233 1350 1370 1565 1878 2055 2466 2817 3130 3425 3699 4110 4695 5634 6165 6850 7398 7825 8451 9390 10275 12330 14085 15650 16902 18495 20550 23475 28170 30825 36990 42255 42881 46950 61650 70425 84510 85762 92475 128643 140850 184950 211275 214405 257286 385929 422550 428810 643215 771858 1072025 1157787 1286430 1929645 2144050 2315574 3216075 3859290 5788935 6432150 9648225 11577870 19296450 28944675 57889350