Search a number
-
+
49709058 = 2373173523
BaseRepresentation
bin1011110110100…
…0000000000010
310110112111000020
42331220000002
5100211142213
64533234310
71142343240
oct275500002
9113474006
1049709058
1126072173
1214792996
13a3b5b59
14685d790
15456d923
hex2f68002

49709058 has 64 divisors (see below), whose sum is σ = 119119872. Its totient is φ = 13530240.

The previous prime is 49709057. The next prime is 49709059. The reversal of 49709058 is 85090794.

It is an interprime number because it is at equal distance from previous prime (49709057) and next prime (49709059).

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

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (49709057) 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, 94785 + ... + 95307.

It is an arithmetic number, because the mean of its divisors is an integer number (1861248).

Almost surely, 249709058 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 49709058, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (59559936).

49709058 is an abundant number, since it is smaller than the sum of its proper divisors (69410814).

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

49709058 is a wasteful number, since it uses less digits than its factorization.

49709058 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 639.

The product of its (nonzero) digits is 90720, while the sum is 42.

The square root of 49709058 is about 7050.4650910419. The cubic root of 49709058 is about 367.6871997352.

It can be divided in two parts, 4970 and 9058, that added together give a triangular number (14028 = T167).

The spelling of 49709058 in words is "forty-nine million, seven hundred nine thousand, fifty-eight".

Divisors: 1 2 3 6 7 14 21 31 42 62 73 93 146 186 217 219 434 438 511 523 651 1022 1046 1302 1533 1569 2263 3066 3138 3661 4526 6789 7322 10983 13578 15841 16213 21966 31682 32426 38179 47523 48639 76358 95046 97278 113491 114537 226982 229074 267253 340473 534506 680946 801759 1183549 1603518 2367098 3550647 7101294 8284843 16569686 24854529 49709058