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145425588 = 223711315077
BaseRepresentation
bin10001010101100…
…00010010110100
3101010122101101220
420222300102310
5244212104323
622232550340
73414045210
oct1052602264
9333571356
10145425588
11750a8440
12408523b0
1324189a59
1415457940
15cb790e3
hex8ab04b4

145425588 has 96 divisors (see below), whose sum is σ = 436789248. Its totient is φ = 36547200.

The previous prime is 145425583. The next prime is 145425607. The reversal of 145425588 is 885524541.

It is a super-2 number, since 2×1454255882 = 42297203290291488, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (145425583) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 26106 + ... + 31182.

It is an arithmetic number, because the mean of its divisors is an integer number (4549888).

Almost surely, 2145425588 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 145425588, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (218394624).

145425588 is an abundant number, since it is smaller than the sum of its proper divisors (291363660).

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

145425588 is a wasteful number, since it uses less digits than its factorization.

145425588 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5133 (or 5131 counting only the distinct ones).

The product of its digits is 256000, while the sum is 42.

The square root of 145425588 is about 12059.2532107092. The cubic root of 145425588 is about 525.8722769110.

The spelling of 145425588 in words is "one hundred forty-five million, four hundred twenty-five thousand, five hundred eighty-eight".

Divisors: 1 2 3 4 6 7 11 12 14 21 22 28 31 33 42 44 62 66 77 84 93 124 132 154 186 217 231 308 341 372 434 462 651 682 868 924 1023 1302 1364 2046 2387 2604 4092 4774 5077 7161 9548 10154 14322 15231 20308 28644 30462 35539 55847 60924 71078 106617 111694 142156 157387 167541 213234 223388 314774 335082 390929 426468 472161 629548 670164 781858 944322 1101709 1172787 1563716 1731257 1888644 2203418 2345574 3305127 3462514 4406836 4691148 5193771 6610254 6925028 10387542 12118799 13220508 20775084 24237598 36356397 48475196 72712794 145425588