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49572952 = 231113172549
BaseRepresentation
bin1011110100011…
…0110001011000
310110021120022021
42331012301120
5100142313302
64530304224
71141235362
oct275066130
9113246267
1049572952
1125a89990
1214728074
13a368c10
146825d32
154543437
hex2f46c58

49572952 has 64 divisors (see below), whose sum is σ = 115668000. Its totient is φ = 19568640.

The previous prime is 49572949. The next prime is 49572953. The reversal of 49572952 is 25927594.

49572952 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a junction number, because it is equal to n+sod(n) for n = 49572899 and 49572908.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (49572953) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 18174 + ... + 20722.

Almost surely, 249572952 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 49572952, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (57834000).

49572952 is an abundant number, since it is smaller than the sum of its proper divisors (66095048).

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

49572952 is a wasteful number, since it uses less digits than its factorization.

49572952 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2596 (or 2592 counting only the distinct ones).

The product of its digits is 226800, while the sum is 43.

The square root of 49572952 is about 7040.8062038377. The cubic root of 49572952 is about 367.3513107283.

The spelling of 49572952 in words is "forty-nine million, five hundred seventy-two thousand, nine hundred fifty-two".

Divisors: 1 2 4 8 11 13 17 22 26 34 44 52 68 88 104 136 143 187 221 286 374 442 572 748 884 1144 1496 1768 2431 2549 4862 5098 9724 10196 19448 20392 28039 33137 43333 56078 66274 86666 112156 132548 173332 224312 265096 346664 364507 476663 563329 729014 953326 1126658 1458028 1906652 2253316 2916056 3813304 4506632 6196619 12393238 24786476 49572952