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3883152 = 2437213127
BaseRepresentation
bin1110110100000010010000
321022021200110
432310002100
51443230102
6215121320
745002100
oct16640220
97267613
103883152
112212519
121373240
13a5c630
14731200
1551a86c
hex3b4090

3883152 has 120 divisors (see below), whose sum is σ = 12665856. Its totient is φ = 1016064.

The previous prime is 3883133. The next prime is 3883169. The reversal of 3883152 is 2513883.

It is a happy number.

3883152 is digitally balanced in base 5, because in such base it contains all the possibile digits an equal number of times.

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, 30513 + ... + 30639.

Almost surely, 23883152 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 3883152, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6332928).

3883152 is an abundant number, since it is smaller than the sum of its proper divisors (8782704).

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

3883152 is a wasteful number, since it uses less digits than its factorization.

3883152 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 165 (or 152 counting only the distinct ones).

The product of its digits is 5760, while the sum is 30.

The square root of 3883152 is about 1970.5714907102. The cubic root of 3883152 is about 157.1790997083.

It can be divided in two parts, 38831 and 52, that added together give a palindrome (38883).

The spelling of 3883152 in words is "three million, eight hundred eighty-three thousand, one hundred fifty-two".

Divisors: 1 2 3 4 6 7 8 12 13 14 16 21 24 26 28 39 42 48 49 52 56 78 84 91 98 104 112 127 147 156 168 182 196 208 254 273 294 312 336 364 381 392 508 546 588 624 637 728 762 784 889 1016 1092 1176 1274 1456 1524 1651 1778 1911 2032 2184 2352 2548 2667 3048 3302 3556 3822 4368 4953 5096 5334 6096 6223 6604 7112 7644 9906 10192 10668 11557 12446 13208 14224 15288 18669 19812 21336 23114 24892 26416 30576 34671 37338 39624 42672 46228 49784 69342 74676 79248 80899 92456 99568 138684 149352 161798 184912 242697 277368 298704 323596 485394 554736 647192 970788 1294384 1941576 3883152