Search a number
-
+
49779672 = 2331727177
BaseRepresentation
bin1011110111100…
…1001111011000
310110200001212120
42331321033120
5100220422142
64534541240
71143056145
oct275711730
9113601776
1049779672
1126110228
1214807820
13a40c037
14687b3cc
1545847ec
hex2f793d8

49779672 has 48 divisors (see below), whose sum is σ = 132218760. Its totient is φ = 15614976.

The previous prime is 49779671. The next prime is 49779673. The reversal of 49779672 is 27697794.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (49779671) and next prime (49779673).

It is a Harshad number since it is a multiple of its sum of digits (51).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (49779671) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 3348 + ... + 10524.

Almost surely, 249779672 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 49779672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (66109380).

49779672 is an abundant number, since it is smaller than the sum of its proper divisors (82439088).

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

49779672 is a wasteful number, since it uses less digits than its factorization.

49779672 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7220 (or 7199 counting only the distinct ones).

The product of its digits is 1333584, while the sum is 51.

The square root of 49779672 is about 7055.4710686105. The cubic root of 49779672 is about 367.8612228769.

The spelling of 49779672 in words is "forty-nine million, seven hundred seventy-nine thousand, six hundred seventy-two".

Divisors: 1 2 3 4 6 8 12 17 24 34 51 68 102 136 204 289 408 578 867 1156 1734 2312 3468 6936 7177 14354 21531 28708 43062 57416 86124 122009 172248 244018 366027 488036 732054 976072 1464108 2074153 2928216 4148306 6222459 8296612 12444918 16593224 24889836 49779672