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145678428 = 223272931973
BaseRepresentation
bin10001010111011…
…10000001011100
3101011010020020100
420223232001130
5244243202203
622242221100
73416150310
oct1053560134
9334106210
10145678428
11752603a5
1240954790
1324247b6c
14154c1b40
15cbc8ea3
hex8aee05c

145678428 has 72 divisors (see below), whose sum is σ = 422499168. Its totient is φ = 41459328.

The previous prime is 145678417. The next prime is 145678433. The reversal of 145678428 is 824876541.

145678428 is a `hidden beast` number, since 1 + 4 + 567 + 84 + 2 + 8 = 666.

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, 72850 + ... + 74822.

It is an arithmetic number, because the mean of its divisors is an integer number (5868044).

Almost surely, 2145678428 is an apocalyptic number.

145678428 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 145678428, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (211249584).

145678428 is an abundant number, since it is smaller than the sum of its proper divisors (276820740).

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

145678428 is a wasteful number, since it uses less digits than its factorization.

145678428 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2283 (or 2278 counting only the distinct ones).

The product of its digits is 430080, while the sum is 45.

The square root of 145678428 is about 12069.7318942883. The cubic root of 145678428 is about 526.1768646755.

The spelling of 145678428 in words is "one hundred forty-five million, six hundred seventy-eight thousand, four hundred twenty-eight".

Divisors: 1 2 3 4 6 7 9 12 14 18 21 28 36 42 63 84 126 252 293 586 879 1172 1758 1973 2051 2637 3516 3946 4102 5274 5919 6153 7892 8204 10548 11838 12306 13811 17757 18459 23676 24612 27622 35514 36918 41433 55244 71028 73836 82866 124299 165732 248598 497196 578089 1156178 1734267 2312356 3468534 4046623 5202801 6937068 8093246 10405602 12139869 16186492 20811204 24279738 36419607 48559476 72839214 145678428