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961528848 = 243743611091
BaseRepresentation
bin111001010011111…
…100010000010000
32111000021201121120
4321103330100100
53432122410343
6235224522240
732553601050
oct7123742020
92430251546
10961528848
11453837945
1222a020380
1312428a4a7
14919b5560
1559632683
hex394fc410

961528848 has 160 divisors (see below), whose sum is σ = 2955144192. Its totient is φ = 263692800.

The previous prime is 961528847. The next prime is 961528849. The reversal of 961528848 is 848825169.

It is an interprime number because it is at equal distance from previous prime (961528847) and next prime (961528849).

It is a self number, because there is not a number n which added to its sum of digits gives 961528848.

It is not an unprimeable number, because it can be changed into a prime (961528847) 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, 880783 + ... + 881873.

Almost surely, 2961528848 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 961528848, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1477572096).

961528848 is an abundant number, since it is smaller than the sum of its proper divisors (1993615344).

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

961528848 is a wasteful number, since it uses less digits than its factorization.

961528848 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1213 (or 1207 counting only the distinct ones).

The product of its digits is 1105920, while the sum is 51.

The square root of 961528848 is about 31008.5286332648. The cubic root of 961528848 is about 987.0082274566.

The spelling of 961528848 in words is "nine hundred sixty-one million, five hundred twenty-eight thousand, eight hundred forty-eight".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 42 43 48 56 61 84 86 112 122 129 168 172 183 244 258 301 336 344 366 427 488 516 602 688 732 854 903 976 1032 1091 1204 1281 1464 1708 1806 2064 2182 2408 2562 2623 2928 3273 3416 3612 4364 4816 5124 5246 6546 6832 7224 7637 7869 8728 10248 10492 13092 14448 15274 15738 17456 18361 20496 20984 22911 26184 30548 31476 36722 41968 45822 46913 52368 55083 61096 62952 66551 73444 91644 93826 110166 122192 125904 133102 140739 146888 183288 187652 199653 220332 266204 281478 293776 328391 366576 375304 399306 440664 465857 532408 562956 656782 750608 798612 881328 931714 985173 1064816 1125912 1313564 1397571 1597224 1863428 1970346 2251824 2627128 2795142 2861693 3194448 3726856 3940692 5254256 5590284 5723386 7453712 7881384 8585079 11180568 11446772 15762768 17170158 20031851 22361136 22893544 34340316 40063702 45787088 60095553 68680632 80127404 120191106 137361264 160254808 240382212 320509616 480764424 961528848