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48089052 = 223411103131
BaseRepresentation
bin1011011101110…
…0011111011100
310100111011210000
42313130133130
544302322202
64434414300
71122515214
oct267343734
9110434700
1048089052
1125166020
1214131390
139c6967b
14655b244
15434d91c
hex2ddc7dc

48089052 has 120 divisors (see below), whose sum is σ = 139531392. Its totient is φ = 14320800.

The previous prime is 48089051. The next prime is 48089053. The reversal of 48089052 is 25098084.

It is an interprime number because it is at equal distance from previous prime (48089051) and next prime (48089053).

It is a super-3 number, since 3×480890523 (a number of 24 digits) contains 333 as substring.

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

It is a junction number, because it is equal to n+sod(n) for n = 48088998 and 48089016.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (48089051) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 367027 + ... + 367157.

Almost surely, 248089052 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 48089052, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (69765696).

48089052 is an abundant number, since it is smaller than the sum of its proper divisors (91442340).

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

48089052 is a wasteful number, since it uses less digits than its factorization.

48089052 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 261 (or 250 counting only the distinct ones).

The product of its (nonzero) digits is 23040, while the sum is 36.

The square root of 48089052 is about 6934.6270267405. The cubic root of 48089052 is about 363.6487272539.

The spelling of 48089052 in words is "forty-eight million, eighty-nine thousand, fifty-two".

Divisors: 1 2 3 4 6 9 11 12 18 22 27 33 36 44 54 66 81 99 103 108 131 132 162 198 206 262 297 309 324 393 396 412 524 594 618 786 891 927 1133 1179 1188 1236 1441 1572 1782 1854 2266 2358 2781 2882 3399 3537 3564 3708 4323 4532 4716 5562 5764 6798 7074 8343 8646 10197 10611 11124 12969 13493 13596 14148 16686 17292 20394 21222 25938 26986 30591 33372 38907 40479 40788 42444 51876 53972 61182 77814 80958 91773 116721 121437 122364 148423 155628 161916 183546 233442 242874 296846 364311 367092 445269 466884 485748 593692 728622 890538 1092933 1335807 1457244 1781076 2185866 2671614 4007421 4371732 5343228 8014842 12022263 16029684 24044526 48089052