Search a number
-
+
153406552 = 231310314321
BaseRepresentation
bin10010010010011…
…00110001011000
3101200122212020011
421021030301120
5303233002202
623120011304
73541635265
oct1111146130
9350585204
10153406552
1179659682
1243460b34
1325a22610
141653426c
15d703bd7
hex924cc58

153406552 has 32 divisors (see below), whose sum is σ = 312792480. Its totient is φ = 70110720.

The previous prime is 153406537. The next prime is 153406553. The reversal of 153406552 is 255604351.

153406552 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (153406553) 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 7 ways as a sum of consecutive naturals, for example, 3552 + ... + 17872.

It is an arithmetic number, because the mean of its divisors is an integer number (9774765).

Almost surely, 2153406552 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 153406552, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (156396240).

153406552 is an abundant number, since it is smaller than the sum of its proper divisors (159385928).

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

153406552 is a wasteful number, since it uses less digits than its factorization.

153406552 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14443 (or 14439 counting only the distinct ones).

The product of its (nonzero) digits is 18000, while the sum is 31.

The square root of 153406552 is about 12385.7398648607. The cubic root of 153406552 is about 535.3214384184.

The spelling of 153406552 in words is "one hundred fifty-three million, four hundred six thousand, five hundred fifty-two".

Divisors: 1 2 4 8 13 26 52 103 104 206 412 824 1339 2678 5356 10712 14321 28642 57284 114568 186173 372346 744692 1475063 1489384 2950126 5900252 11800504 19175819 38351638 76703276 153406552