[go: up one dir, main page]

Search a number
-
+
145250784 = 25327109661
BaseRepresentation
bin10001010100001…
…01100111100000
3101010022111121200
420222011213200
5244141011114
622225121200
73412416450
oct1052054740
9333274550
10145250784
1174a99078
1240789200
1324128313
141540dd60
15cb42409
hex8a859e0

145250784 has 144 divisors (see below), whose sum is σ = 477116640. Its totient is φ = 41057280.

The previous prime is 145250783. The next prime is 145250813. The reversal of 145250784 is 487052541.

145250784 is a `hidden beast` number, since 145 + 2 + 507 + 8 + 4 = 666.

It is a tau number, because it is divible by the number of its divisors (144).

It is a super-2 number, since 2×1452507842 = 42195580505229312, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (145250783) 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 23 ways as a sum of consecutive naturals, for example, 219414 + ... + 220074.

It is an arithmetic number, because the mean of its divisors is an integer number (3313310).

Almost surely, 2145250784 is an apocalyptic number.

145250784 is a gapful number since it is divisible by the number (14) 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 145250784, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (238558320).

145250784 is an abundant number, since it is smaller than the sum of its proper divisors (331865856).

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

145250784 is a wasteful number, since it uses less digits than its factorization.

145250784 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 793 (or 782 counting only the distinct ones).

The product of its (nonzero) digits is 44800, while the sum is 36.

The square root of 145250784 is about 12052.0033189508. The cubic root of 145250784 is about 525.6614899947.

The spelling of 145250784 in words is "one hundred forty-five million, two hundred fifty thousand, seven hundred eighty-four".

Divisors: 1 2 3 4 6 7 8 9 12 14 16 18 21 24 28 32 36 42 48 56 63 72 84 96 109 112 126 144 168 218 224 252 288 327 336 436 504 654 661 672 763 872 981 1008 1308 1322 1526 1744 1962 1983 2016 2289 2616 2644 3052 3488 3924 3966 4578 4627 5232 5288 5949 6104 6867 7848 7932 9156 9254 10464 10576 11898 12208 13734 13881 15696 15864 18312 18508 21152 23796 24416 27468 27762 31392 31728 36624 37016 41643 47592 54936 55524 63456 72049 73248 74032 83286 95184 109872 111048 144098 148064 166572 190368 216147 219744 222096 288196 333144 432294 444192 504343 576392 648441 666288 864588 1008686 1152784 1296882 1332576 1513029 1729176 2017372 2305568 2593764 3026058 3458352 4034744 4539087 5187528 6052116 6916704 8069488 9078174 10375056 12104232 16138976 18156348 20750112 24208464 36312696 48416928 72625392 145250784