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997913736 = 233317359757
BaseRepresentation
bin111011011110101…
…111010010001000
32120112202021022000
4323132233102020
54020431214421
6243004431000
733505061331
oct7336572210
92515667260
10997913736
114723293a6
1223a248460
1312b989701
1496767288
155c91d226
hex3b7af488

997913736 has 128 divisors (see below), whose sum is σ = 2947104000. Its totient is φ = 311786496.

The previous prime is 997913713. The next prime is 997913747. The reversal of 997913736 is 637319799.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1317870 + ... + 1318626.

It is an arithmetic number, because the mean of its divisors is an integer number (23024250).

Almost surely, 2997913736 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 997913736, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1473552000).

997913736 is an abundant number, since it is smaller than the sum of its proper divisors (1949190264).

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

997913736 is a wasteful number, since it uses less digits than its factorization.

997913736 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1148 (or 1138 counting only the distinct ones).

The product of its digits is 1928934, while the sum is 54.

The square root of 997913736 is about 31589.7726487545. The cubic root of 997913736 is about 999.3040944945.

The spelling of 997913736 in words is "nine hundred ninety-seven million, nine hundred thirteen thousand, seven hundred thirty-six".

Divisors: 1 2 3 4 6 8 9 12 17 18 24 27 34 36 51 54 68 72 102 108 136 153 204 216 306 359 408 459 612 718 757 918 1077 1224 1436 1514 1836 2154 2271 2872 3028 3231 3672 4308 4542 6056 6103 6462 6813 8616 9084 9693 12206 12869 12924 13626 18168 18309 19386 20439 24412 25738 25848 27252 36618 38607 38772 40878 48824 51476 54504 54927 73236 77214 77544 81756 102952 109854 115821 146472 154428 163512 164781 219708 231642 271763 308856 329562 347463 439416 463284 543526 659124 694926 815289 926568 1087052 1318248 1389852 1630578 2174104 2445867 2779704 3261156 4619971 4891734 6522312 7337601 9239942 9783468 13859913 14675202 18479884 19566936 27719826 29350404 36959768 41579739 55439652 58700808 83159478 110879304 124739217 166318956 249478434 332637912 498956868 997913736