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961237056 = 263131920269
BaseRepresentation
bin111001010010110…
…101000001000000
32110222201220100110
4321102311001000
53432034041211
6235214351320
732551244253
oct7122650100
92428656313
10961237056
1145365869a
12229abb540
131241b7730
149193b09a
15595c5ea6
hex394b5040

961237056 has 112 divisors (see below), whose sum is σ = 2883204800. Its totient is φ = 280184832.

The previous prime is 961237049. The next prime is 961237061. The reversal of 961237056 is 650732169.

It is a Harshad number since it is a multiple of its sum of digits (39).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 37290 + ... + 57558.

It is an arithmetic number, because the mean of its divisors is an integer number (25742900).

Almost surely, 2961237056 is an apocalyptic number.

961237056 is a gapful number since it is divisible by the number (96) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 961237056, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1441602400).

961237056 is an abundant number, since it is smaller than the sum of its proper divisors (1921967744).

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

961237056 is a wasteful number, since it uses less digits than its factorization.

961237056 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 20316 (or 20306 counting only the distinct ones).

The product of its (nonzero) digits is 68040, while the sum is 39.

The square root of 961237056 is about 31003.8232481093. The cubic root of 961237056 is about 986.9083759742.

The spelling of 961237056 in words is "nine hundred sixty-one million, two hundred thirty-seven thousand, fifty-six".

Divisors: 1 2 3 4 6 8 12 13 16 19 24 26 32 38 39 48 52 57 64 76 78 96 104 114 152 156 192 208 228 247 304 312 416 456 494 608 624 741 832 912 988 1216 1248 1482 1824 1976 2496 2964 3648 3952 5928 7904 11856 15808 20269 23712 40538 47424 60807 81076 121614 162152 243228 263497 324304 385111 486456 526994 648608 770222 790491 972912 1053988 1155333 1297216 1540444 1580982 1945824 2107976 2310666 3080888 3161964 3891648 4215952 4621332 5006443 6161776 6323928 8431904 9242664 10012886 12323552 12647856 15019329 16863808 18485328 20025772 24647104 25295712 30038658 36970656 40051544 50591424 60077316 73941312 80103088 120154632 160206176 240309264 320412352 480618528 961237056