Search a number
-
+
153994428 = 223274491361
BaseRepresentation
bin10010010110111…
…00010010111100
3101201202201122100
421023130102330
5303410310203
623140345100
73546634230
oct1113342274
9351681570
10153994428
1179a20325
12436a5190
1325b9a083
14166485c0
15d7bcea3
hex92dc4bc

153994428 has 72 divisors (see below), whose sum is σ = 446191200. Its totient is φ = 43868160.

The previous prime is 153994427. The next prime is 153994433. The reversal of 153994428 is 824499351.

153994428 is a `hidden beast` number, since 1 + 539 + 94 + 4 + 28 = 666.

153994428 is digitally balanced in base 2 and base 3, because in such bases it contains all the possibile digits an equal number of times.

It is a Smith number, since the sum of its digits (45) coincides with the sum of the digits of its prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (153994427) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 112468 + ... + 113828.

It is an arithmetic number, because the mean of its divisors is an integer number (6197100).

Almost surely, 2153994428 is an apocalyptic number.

153994428 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 153994428, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (223095600).

153994428 is an abundant number, since it is smaller than the sum of its proper divisors (292196772).

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

153994428 is a wasteful number, since it uses less digits than its factorization.

153994428 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1827 (or 1822 counting only the distinct ones).

The product of its digits is 311040, while the sum is 45.

The square root of 153994428 is about 12409.4491416823. The cubic root of 153994428 is about 536.0043764030.

The spelling of 153994428 in words is "one hundred fifty-three million, nine hundred ninety-four thousand, four hundred twenty-eight".

Divisors: 1 2 3 4 6 7 9 12 14 18 21 28 36 42 63 84 126 252 449 898 1347 1361 1796 2694 2722 3143 4041 4083 5388 5444 6286 8082 8166 9429 9527 12249 12572 16164 16332 18858 19054 24498 28287 28581 37716 38108 48996 56574 57162 85743 113148 114324 171486 342972 611089 1222178 1833267 2444356 3666534 4277623 5499801 7333068 8555246 10999602 12832869 17110492 21999204 25665738 38498607 51331476 76997214 153994428