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33240152 = 23112231493
BaseRepresentation
bin111111011001…
…1010001011000
32022112202220202
41332303101120
532002141102
63144241332
7552352031
oct176632130
968482822
1033240152
1117843900
12b170248
136b6aa3a
1445b3a88
152db8e02
hex1fb3458

33240152 has 48 divisors (see below), whose sum is σ = 71532720. Its totient is φ = 14442560.

The previous prime is 33240149. The next prime is 33240191. The reversal of 33240152 is 25104233.

It is a happy number.

It is a super-2 number, since 2×332401522 = 2209815409966208, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 21518 + ... + 23010.

It is an arithmetic number, because the mean of its divisors is an integer number (1490265).

Almost surely, 233240152 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 33240152, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (35766360).

33240152 is an abundant number, since it is smaller than the sum of its proper divisors (38292568).

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

33240152 is a wasteful number, since it uses less digits than its factorization.

33240152 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1544 (or 1529 counting only the distinct ones).

The product of its (nonzero) digits is 720, while the sum is 20.

The square root of 33240152 is about 5765.4273041987. The cubic root of 33240152 is about 321.5296297027.

Adding to 33240152 its reverse (25104233), we get a palindrome (58344385).

The spelling of 33240152 in words is "thirty-three million, two hundred forty thousand, one hundred fifty-two".

Divisors: 1 2 4 8 11 22 23 44 46 88 92 121 184 242 253 484 506 968 1012 1493 2024 2783 2986 5566 5972 11132 11944 16423 22264 32846 34339 65692 68678 131384 137356 180653 274712 361306 377729 722612 755458 1445224 1510916 3021832 4155019 8310038 16620076 33240152