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49712148 = 223217292801
BaseRepresentation
bin1011110110100…
…0110000010100
310110112122020200
42331220300110
5100211242043
64533300500
71142355243
oct275506024
9113478220
1049712148
1126074522
1214794730
13a3b7395
14686095a
15456e7d3
hex2f68c14

49712148 has 72 divisors (see below), whose sum is σ = 137690280. Its totient is φ = 15052800.

The previous prime is 49712147. The next prime is 49712149. The reversal of 49712148 is 84121794.

49712148 is a `hidden beast` number, since 497 + 121 + 48 = 666.

It is an interprime number because it is at equal distance from previous prime (49712147) and next prime (49712149).

It can be written as a sum of positive squares in 4 ways, for example, as 13927824 + 35784324 = 3732^2 + 5982^2 .

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 (49712147) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 16348 + ... + 19148.

It is an arithmetic number, because the mean of its divisors is an integer number (1912365).

Almost surely, 249712148 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 49712148, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (68845140).

49712148 is an abundant number, since it is smaller than the sum of its proper divisors (87978132).

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

49712148 is a wasteful number, since it uses less digits than its factorization.

49712148 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2857 (or 2852 counting only the distinct ones).

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

The square root of 49712148 is about 7050.6842221163. The cubic root of 49712148 is about 367.6948182656.

The spelling of 49712148 in words is "forty-nine million, seven hundred twelve thousand, one hundred forty-eight".

Divisors: 1 2 3 4 6 9 12 17 18 29 34 36 51 58 68 87 102 116 153 174 204 261 306 348 493 522 612 986 1044 1479 1972 2801 2958 4437 5602 5916 8403 8874 11204 16806 17748 25209 33612 47617 50418 81229 95234 100836 142851 162458 190468 243687 285702 324916 428553 487374 571404 731061 857106 974748 1380893 1462122 1714212 2761786 2924244 4142679 5523572 8285358 12428037 16570716 24856074 49712148