Search a number
-
+
1352200808 = 2371783109157
BaseRepresentation
bin101000010011000…
…1111001001101000
310111020101220210102
41100212033021220
510232130411213
6342102204532
745336342260
oct12046171150
93436356712
101352200808
11634311532
12318a23748
131871b402a
14cb82c7a0
157daa2158
hex5098f268

1352200808 has 128 divisors (see below), whose sum is σ = 3153427200. Its totient is φ = 530509824.

The previous prime is 1352200807. The next prime is 1352200813. The reversal of 1352200808 is 8080022531.

It is not an unprimeable number, because it can be changed into a prime (1352200807) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 8612666 + ... + 8612822.

It is an arithmetic number, because the mean of its divisors is an integer number (24636150).

Almost surely, 21352200808 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 1352200808, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1576713600).

1352200808 is an abundant number, since it is smaller than the sum of its proper divisors (1801226392).

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

1352200808 is a wasteful number, since it uses less digits than its factorization.

1352200808 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 379 (or 375 counting only the distinct ones).

The product of its (nonzero) digits is 3840, while the sum is 29.

The square root of 1352200808 is about 36772.2831491329. The cubic root of 1352200808 is about 1105.8097047107.

The spelling of 1352200808 in words is "one billion, three hundred fifty-two million, two hundred thousand, eight hundred eight".

Divisors: 1 2 4 7 8 14 17 28 34 56 68 83 109 119 136 157 166 218 238 314 332 436 476 581 628 664 763 872 952 1099 1162 1256 1411 1526 1853 2198 2324 2669 2822 3052 3706 4396 4648 5338 5644 6104 7412 8792 9047 9877 10676 11288 12971 13031 14824 17113 18094 18683 19754 21352 25942 26062 34226 36188 37366 39508 51884 52124 63329 68452 72376 74732 79016 91217 103768 104248 119791 126658 136904 149464 153799 182434 221527 239582 253316 290921 307598 364868 443054 479164 506632 581842 615196 729736 886108 958328 1076593 1163684 1230392 1420379 1550689 1772216 2036447 2153186 2327368 2840758 3101378 4072894 4306372 5681516 6202756 8145788 8612744 9942653 11363032 12405512 16291576 19885306 24146443 39770612 48292886 79541224 96585772 169025101 193171544 338050202 676100404 1352200808