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48993126 = 23713611471
BaseRepresentation
bin1011101011100…
…1001101100110
310102012002221020
42322321031212
5100020240001
64510032010
71133302050
oct272711546
9112162836
1048993126
1125723296
12144a8606
13a1c5020
1467148d0
15447b736
hex2eb9366

48993126 has 64 divisors (see below), whose sum is σ = 122658816. Its totient is φ = 12700800.

The previous prime is 48993103. The next prime is 48993127. The reversal of 48993126 is 62139984.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (48993127) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 32571 + ... + 34041.

It is an arithmetic number, because the mean of its divisors is an integer number (1916544).

Almost surely, 248993126 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 48993126, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (61329408).

48993126 is an abundant number, since it is smaller than the sum of its proper divisors (73665690).

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

48993126 is a wasteful number, since it uses less digits than its factorization.

48993126 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1557.

The product of its digits is 93312, while the sum is 42.

The square root of 48993126 is about 6999.5089827787. The cubic root of 48993126 is about 365.9134585916.

The spelling of 48993126 in words is "forty-eight million, nine hundred ninety-three thousand, one hundred twenty-six".

Divisors: 1 2 3 6 7 13 14 21 26 39 42 61 78 91 122 182 183 273 366 427 546 793 854 1281 1471 1586 2379 2562 2942 4413 4758 5551 8826 10297 11102 16653 19123 20594 30891 33306 38246 57369 61782 89731 114738 133861 179462 267722 269193 401583 538386 628117 803166 1166503 1256234 1884351 2333006 3499509 3768702 6999018 8165521 16331042 24496563 48993126