Search a number
-
+
49036544 = 283137167
BaseRepresentation
bin1011101100001…
…1110100000000
310102021022111022
42323003310000
5100023132134
64511005012
71133542454
oct273036400
9112238438
1049036544
1125752977
1214509768
13a20ba0b
146726664
15448952e
hex2ec3d00

49036544 has 72 divisors (see below), whose sum is σ = 104391168. Its totient is φ = 22947840.

The previous prime is 49036541. The next prime is 49036553. The reversal of 49036544 is 44563094.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (49036541) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 293549 + ... + 293715.

Almost surely, 249036544 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 49036544, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (52195584).

49036544 is an abundant number, since it is smaller than the sum of its proper divisors (55354624).

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

49036544 is a wasteful number, since it uses less digits than its factorization.

49036544 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 251 (or 237 counting only the distinct ones).

The product of its (nonzero) digits is 51840, while the sum is 35.

The square root of 49036544 is about 7002.6097992106. The cubic root of 49036544 is about 366.0215182388.

The spelling of 49036544 in words is "forty-nine million, thirty-six thousand, five hundred forty-four".

Divisors: 1 2 4 8 16 31 32 37 62 64 74 124 128 148 167 248 256 296 334 496 592 668 992 1147 1184 1336 1984 2294 2368 2672 3968 4588 4736 5177 5344 6179 7936 9176 9472 10354 10688 12358 18352 20708 21376 24716 36704 41416 42752 49432 73408 82832 98864 146816 165664 191549 197728 293632 331328 383098 395456 662656 766196 790912 1325312 1532392 1581824 3064784 6129568 12259136 24518272 49036544