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48333348 = 22347101211
BaseRepresentation
bin1011100001100…
…0001000100100
310100221120220000
42320120020210
544333131343
64443541300
71124553360
oct270301044
9110846800
1048333348
1125312618
121422a830
13a02391b
1465c22a0
15439aed3
hex2e18224

48333348 has 120 divisors (see below), whose sum is σ = 146524224. Its totient is φ = 13608000.

The previous prime is 48333347. The next prime is 48333349. The reversal of 48333348 is 84333384.

It is an interprime number because it is at equal distance from previous prime (48333347) and next prime (48333349).

It is a super-2 number, since 2×483333482 = 4672225057778208, which contains 22 as substring.

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

Its product of digits (82944) is a multiple of the sum of its prime divisors (324).

It is not an unprimeable number, because it can be changed into a prime (48333347) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 228963 + ... + 229173.

Almost surely, 248333348 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 48333348, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (73262112).

48333348 is an abundant number, since it is smaller than the sum of its proper divisors (98190876).

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

48333348 is a wasteful number, since it uses less digits than its factorization.

48333348 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 335 (or 324 counting only the distinct ones).

The product of its digits is 82944, while the sum is 36.

The square root of 48333348 is about 6952.2189263573. The cubic root of 48333348 is about 364.2634750635.

Adding to 48333348 its sum of digits (36), we get a palindrome (48333384).

The spelling of 48333348 in words is "forty-eight million, three hundred thirty-three thousand, three hundred forty-eight".

Divisors: 1 2 3 4 6 7 9 12 14 18 21 27 28 36 42 54 63 81 84 101 108 126 162 189 202 211 252 303 324 378 404 422 567 606 633 707 756 844 909 1134 1212 1266 1414 1477 1818 1899 2121 2268 2532 2727 2828 2954 3636 3798 4242 4431 5454 5697 5908 6363 7596 8181 8484 8862 10908 11394 12726 13293 16362 17091 17724 19089 21311 22788 25452 26586 32724 34182 38178 39879 42622 53172 57267 63933 68364 76356 79758 85244 114534 119637 127866 149177 159516 191799 229068 239274 255732 298354 383598 447531 478548 575397 596708 767196 895062 1150794 1342593 1726191 1790124 2301588 2685186 3452382 4027779 5370372 6904764 8055558 12083337 16111116 24166674 48333348