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49187124 = 223271910273
BaseRepresentation
bin1011101110100…
…0100100110100
310102112222001100
42323220210310
5100042441444
64514130100
71135040460
oct273504464
9112488040
1049187124
1125846018
1214580930
13a26240c
1467654a0
1544b8e69
hex2ee8934

49187124 has 72 divisors (see below), whose sum is σ = 149589440. Its totient is φ = 13312512.

The previous prime is 49187123. The next prime is 49187129. The reversal of 49187124 is 42178194.

49187124 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (49187123) 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 23 ways as a sum of consecutive naturals, for example, 349 + ... + 9924.

Almost surely, 249187124 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 49187124, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (74794720).

49187124 is an abundant number, since it is smaller than the sum of its proper divisors (100402316).

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

49187124 is a wasteful number, since it uses less digits than its factorization.

49187124 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10309 (or 10304 counting only the distinct ones).

The product of its digits is 16128, while the sum is 36.

The square root of 49187124 is about 7013.3532635965. The cubic root of 49187124 is about 366.3957914920.

The spelling of 49187124 in words is "forty-nine million, one hundred eighty-seven thousand, one hundred twenty-four".

Divisors: 1 2 3 4 6 7 9 12 14 18 19 21 28 36 38 42 57 63 76 84 114 126 133 171 228 252 266 342 399 532 684 798 1197 1596 2394 4788 10273 20546 30819 41092 61638 71911 92457 123276 143822 184914 195187 215733 287644 369828 390374 431466 585561 647199 780748 862932 1171122 1294398 1366309 1756683 2342244 2588796 2732618 3513366 4098927 5465236 7026732 8197854 12296781 16395708 24593562 49187124