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997759872 = 27322337657
BaseRepresentation
bin111011011110001…
…001101110000000
32120112110110020100
4323132021232000
54020411303442
6243001242400
733503550624
oct7336115600
92515413210
10997759872
1147223383a
1223a193400
1312b934675
1496727184
155c8dc84c
hex3b789b80

997759872 has 96 divisors (see below), whose sum is σ = 2996070480. Its totient is φ = 318117888.

The previous prime is 997759793. The next prime is 997759891. The reversal of 997759872 is 278957799.

997759872 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (96).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 7668 + ... + 45324.

Almost surely, 2997759872 is an apocalyptic number.

997759872 is a gapful number since it is divisible by the number (92) 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 997759872, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1498035240).

997759872 is an abundant number, since it is smaller than the sum of its proper divisors (1998310608).

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

997759872 is a wasteful number, since it uses less digits than its factorization.

997759872 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 37700 (or 37685 counting only the distinct ones).

The product of its digits is 20003760, while the sum is 63.

The square root of 997759872 is about 31587.3372097111. The cubic root of 997759872 is about 999.2527323969.

The spelling of 997759872 in words is "nine hundred ninety-seven million, seven hundred fifty-nine thousand, eight hundred seventy-two".

Divisors: 1 2 3 4 6 8 9 12 16 18 23 24 32 36 46 48 64 69 72 92 96 128 138 144 184 192 207 276 288 368 384 414 552 576 736 828 1104 1152 1472 1656 2208 2944 3312 4416 6624 8832 13248 26496 37657 75314 112971 150628 225942 301256 338913 451884 602512 677826 866111 903768 1205024 1355652 1732222 1807536 2410048 2598333 2711304 3464444 3615072 4820096 5196666 5422608 6928888 7230144 7794999 10393332 10845216 13857776 14460288 15589998 20786664 21690432 27715552 31179996 41573328 43380864 55431104 62359992 83146656 110862208 124719984 166293312 249439968 332586624 498879936 997759872