Search a number
-
+
133889544 = 23331733583
BaseRepresentation
bin1111111101011…
…11111000001000
3100022221021221000
413332233320020
5233233431134
621141415000
73214020345
oct776577010
9308837830
10133889544
1169639218
1238a0a460
132197aca9
1413ad37cc
15bb4ae99
hex7fafe08

133889544 has 64 divisors (see below), whose sum is σ = 374169600. Its totient is φ = 44359488.

The previous prime is 133889507. The next prime is 133889551. The reversal of 133889544 is 445988331.

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 self number, because there is not a number n which added to its sum of digits gives 133889544.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 35577 + ... + 39159.

It is an arithmetic number, because the mean of its divisors is an integer number (5846400).

Almost surely, 2133889544 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 133889544, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (187084800).

133889544 is an abundant number, since it is smaller than the sum of its proper divisors (240280056).

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

133889544 is a wasteful number, since it uses less digits than its factorization.

133889544 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3771 (or 3761 counting only the distinct ones).

The product of its digits is 414720, while the sum is 45.

The square root of 133889544 is about 11571.0649466676. The cubic root of 133889544 is about 511.5823518733.

The spelling of 133889544 in words is "one hundred thirty-three million, eight hundred eighty-nine thousand, five hundred forty-four".

Divisors: 1 2 3 4 6 8 9 12 18 24 27 36 54 72 108 173 216 346 519 692 1038 1384 1557 2076 3114 3583 4152 4671 6228 7166 9342 10749 12456 14332 18684 21498 28664 32247 37368 42996 64494 85992 96741 128988 193482 257976 386964 619859 773928 1239718 1859577 2479436 3719154 4958872 5578731 7438308 11157462 14876616 16736193 22314924 33472386 44629848 66944772 133889544