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133052444 = 2273372621
BaseRepresentation
bin1111110111000…
…11100000011100
3100021100202122022
413323203200130
5233030134234
621111435312
73203633000
oct773434034
9307322568
10133052444
11691172a8
1238685b38
1321746c75
1413956700
15ba32e2e
hex7ee381c

133052444 has 48 divisors (see below), whose sum is σ = 278980800. Its totient is φ = 55460160.

The previous prime is 133052429. The next prime is 133052471. The reversal of 133052444 is 444250331.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 49454 + ... + 52074.

It is an arithmetic number, because the mean of its divisors is an integer number (5812100).

Almost surely, 2133052444 is an apocalyptic number.

133052444 is a gapful number since it is divisible by the number (14) 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 133052444, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (139490400).

133052444 is an abundant number, since it is smaller than the sum of its proper divisors (145928356).

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

133052444 is a wasteful number, since it uses less digits than its factorization.

133052444 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2683 (or 2667 counting only the distinct ones).

The product of its (nonzero) digits is 5760, while the sum is 26.

The square root of 133052444 is about 11534.8361063346. The cubic root of 133052444 is about 510.5139558040.

The spelling of 133052444 in words is "one hundred thirty-three million, fifty-two thousand, four hundred forty-four".

Divisors: 1 2 4 7 14 28 37 49 74 98 148 196 259 343 518 686 1036 1372 1813 2621 3626 5242 7252 10484 12691 18347 25382 36694 50764 73388 96977 128429 193954 256858 387908 513716 678839 899003 1357678 1798006 2715356 3596012 4751873 9503746 19007492 33263111 66526222 133052444