Search a number
-
+
48158208 = 293271493
BaseRepresentation
bin1011011110110…
…1011000000000
310100121200122100
42313231120000
544312030313
64440110400
71123223640
oct267553000
9110550570
1048158208
1125202a7a
1214165400
139c91ca7
146578520
154364173
hex2ded600

48158208 has 120 divisors (see below), whose sum is σ = 158949648. Its totient is φ = 13750272.

The previous prime is 48158207. The next prime is 48158213. The reversal of 48158208 is 80285184.

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 (48158207) 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, 31510 + ... + 33002.

Almost surely, 248158208 is an apocalyptic number.

48158208 is a gapful number since it is divisible by the number (48) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 48158208, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (79474824).

48158208 is an abundant number, since it is smaller than the sum of its proper divisors (110791440).

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

48158208 is a wasteful number, since it uses less digits than its factorization.

48158208 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1524 (or 1505 counting only the distinct ones).

The product of its (nonzero) digits is 20480, while the sum is 36.

The square root of 48158208 is about 6939.6115165044. The cubic root of 48158208 is about 363.8229626551.

The spelling of 48158208 in words is "forty-eight million, one hundred fifty-eight thousand, two hundred eight".

Divisors: 1 2 3 4 6 7 8 9 12 14 16 18 21 24 28 32 36 42 48 56 63 64 72 84 96 112 126 128 144 168 192 224 252 256 288 336 384 448 504 512 576 672 768 896 1008 1152 1344 1493 1536 1792 2016 2304 2688 2986 3584 4032 4479 4608 5376 5972 8064 8958 10451 10752 11944 13437 16128 17916 20902 23888 26874 31353 32256 35832 41804 47776 53748 62706 71664 83608 94059 95552 107496 125412 143328 167216 188118 191104 214992 250824 286656 334432 376236 382208 429984 501648 573312 668864 752472 764416 859968 1003296 1146624 1337728 1504944 1719936 2006592 2293248 2675456 3009888 3439872 4013184 5350912 6019776 6879744 8026368 12039552 16052736 24079104 48158208