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153550242 = 2351392273
BaseRepresentation
bin10010010011011…
…11110110100010
3101200221011100000
421021233312202
5303302101432
623123040430
73543104226
oct1111576642
9350834300
10153550242
117974762a
1243510116
1325a72b41
1416570786
15d73157c
hex926fda2

153550242 has 48 divisors (see below), whose sum is σ = 347649120. Its totient is φ = 50792832.

The previous prime is 153550181. The next prime is 153550247. The reversal of 153550242 is 242055351.

It is a happy number.

153550242 is a `hidden beast` number, since 153 + 5 + 502 + 4 + 2 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (153550247) 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, 66418 + ... + 68690.

It is an arithmetic number, because the mean of its divisors is an integer number (7242690).

Almost surely, 2153550242 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 153550242, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (173824560).

153550242 is an abundant number, since it is smaller than the sum of its proper divisors (194098878).

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

153550242 is a wasteful number, since it uses less digits than its factorization.

153550242 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2429 (or 2417 counting only the distinct ones).

The product of its (nonzero) digits is 6000, while the sum is 27.

The square root of 153550242 is about 12391.5391295835. The cubic root of 153550242 is about 535.4885245758.

The spelling of 153550242 in words is "one hundred fifty-three million, five hundred fifty thousand, two hundred forty-two".

Divisors: 1 2 3 6 9 18 27 54 81 139 162 243 278 417 486 834 1251 2273 2502 3753 4546 6819 7506 11259 13638 20457 22518 33777 40914 61371 67554 122742 184113 315947 368226 552339 631894 947841 1104678 1895682 2843523 5687046 8530569 17061138 25591707 51183414 76775121 153550242