Search a number
-
+
48260772 = 2235741173
BaseRepresentation
bin1011100000011…
…0011010100100
310100210220100000
42320012122210
544323321042
64442221300
71124131650
oct270063244
9110726300
1048260772
112527303a
12141b4830
139cc9891
1465a3a60
15438474c
hex2e066a4

48260772 has 144 divisors (see below), whose sum is σ = 148966272. Its totient is φ = 13374720.

The previous prime is 48260747. The next prime is 48260777. The reversal of 48260772 is 27706284.

48260772 is a `hidden beast` number, since 48 + 2 + 607 + 7 + 2 = 666.

It is a super-2 number, since 2×482607722 = 4658204228071968, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (48260777) 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 47 ways as a sum of consecutive naturals, for example, 278878 + ... + 279050.

It is an arithmetic number, because the mean of its divisors is an integer number (1034488).

Almost surely, 248260772 is an apocalyptic number.

48260772 is a gapful number since it is divisible by the number (42) 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 48260772, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (74483136).

48260772 is an abundant number, since it is smaller than the sum of its proper divisors (100705500).

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

48260772 is a wasteful number, since it uses less digits than its factorization.

48260772 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 240 (or 226 counting only the distinct ones).

The product of its (nonzero) digits is 37632, while the sum is 36.

The square root of 48260772 is about 6946.9973369795. The cubic root of 48260772 is about 364.0810611240.

The spelling of 48260772 in words is "forty-eight million, two hundred sixty thousand, seven hundred seventy-two".

Divisors: 1 2 3 4 6 7 9 12 14 18 21 27 28 36 41 42 54 63 81 82 84 108 123 126 162 164 173 189 243 246 252 287 324 346 369 378 486 492 519 567 574 692 738 756 861 972 1038 1107 1134 1148 1211 1476 1557 1701 1722 2076 2214 2268 2422 2583 3114 3321 3402 3444 3633 4428 4671 4844 5166 6228 6642 6804 7093 7266 7749 9342 9963 10332 10899 13284 14013 14186 14532 15498 18684 19926 21279 21798 23247 28026 28372 30996 32697 39852 42039 42558 43596 46494 49651 56052 63837 65394 69741 84078 85116 92988 98091 99302 127674 130788 139482 148953 168156 191511 196182 198604 255348 278964 294273 297906 383022 392364 446859 574533 588546 595812 766044 893718 1149066 1177092 1340577 1723599 1787436 2298132 2681154 3447198 4021731 5362308 6894396 8043462 12065193 16086924 24130386 48260772