Search a number
-
+
48611024 = 24711217211
BaseRepresentation
bin1011100101101…
…1111011010000
310101110200210022
42321123323100
544421023044
64453523012
71130121050
oct271337320
9111420708
1048611024
1125492200
1214343468
13a0c0127
146655560
1544033ee
hex2e5bed0

48611024 has 120 divisors (see below), whose sum is σ = 125866944. Its totient is φ = 17740800.

The previous prime is 48611011. The next prime is 48611077. The reversal of 48611024 is 42011684.

It is a junction number, because it is equal to n+sod(n) for n = 48610984 and 48611002.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 230279 + ... + 230489.

Almost surely, 248611024 is an apocalyptic number.

48611024 is a gapful number since it is divisible by the number (44) 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 48611024, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (62933472).

48611024 is an abundant number, since it is smaller than the sum of its proper divisors (77255920).

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

48611024 is a wasteful number, since it uses less digits than its factorization.

48611024 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 265 (or 248 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 26.

The square root of 48611024 is about 6972.1606407196. The cubic root of 48611024 is about 364.9597103211.

It can be divided in two parts, 4861 and 1024, that added together give a palindrome (5885).

The spelling of 48611024 in words is "forty-eight million, six hundred eleven thousand, twenty-four".

Divisors: 1 2 4 7 8 11 14 16 17 22 28 34 44 56 68 77 88 112 119 121 136 154 176 187 211 238 242 272 308 374 422 476 484 616 748 844 847 952 968 1232 1309 1477 1496 1688 1694 1904 1936 2057 2321 2618 2954 2992 3376 3388 3587 4114 4642 5236 5908 6776 7174 8228 9284 10472 11816 13552 14348 14399 16247 16456 18568 20944 23632 25109 25531 28696 28798 32494 32912 37136 39457 50218 51062 57392 57596 64988 78914 100436 102124 115192 129976 157828 178717 200872 204248 230384 259952 276199 315656 357434 401744 408496 434027 552398 631312 714868 868054 1104796 1429736 1736108 2209592 2859472 3038189 3472216 4419184 6076378 6944432 12152756 24305512 48611024