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997963428 = 2237112937243
BaseRepresentation
bin111011011110111…
…011011010100100
32120112211210110110
4323132323122210
54020434312203
6243005453020
733505356240
oct7336733244
92515753413
10997963428
11472362770
1223a271170
1312b9a6207
149677b420
155c92cd03
hex3b7bb6a4

997963428 has 96 divisors (see below), whose sum is σ = 3003356160. Its totient is φ = 250266240.

The previous prime is 997963339. The next prime is 997963453. The reversal of 997963428 is 824369799.

It is a super-2 number, since 2×9979634282 = 1991862007251022368, which contains 22 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 8175 + ... + 45417.

It is an arithmetic number, because the mean of its divisors is an integer number (31284960).

Almost surely, 2997963428 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 997963428, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1501678080).

997963428 is an abundant number, since it is smaller than the sum of its proper divisors (2005392732).

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

997963428 is a wasteful number, since it uses less digits than its factorization.

997963428 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 37297 (or 37295 counting only the distinct ones).

The product of its digits is 5878656, while the sum is 57.

The square root of 997963428 is about 31590.5591593438. The cubic root of 997963428 is about 999.3206812973.

The spelling of 997963428 in words is "nine hundred ninety-seven million, nine hundred sixty-three thousand, four hundred twenty-eight".

Divisors: 1 2 3 4 6 7 11 12 14 21 22 28 29 33 42 44 58 66 77 84 87 116 132 154 174 203 231 308 319 348 406 462 609 638 812 924 957 1218 1276 1914 2233 2436 3828 4466 6699 8932 13398 26796 37243 74486 111729 148972 223458 260701 409673 446916 521402 782103 819346 1042804 1080047 1229019 1564206 1638692 2160094 2458038 2867711 3128412 3240141 4320188 4916076 5735422 6480282 7560329 8603133 11470844 11880517 12960564 15120658 17206266 22680987 23761034 30241316 34412532 35641551 45361974 47522068 71283102 83163619 90723948 142566204 166327238 249490857 332654476 498981714 997963428