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997376896 = 2753791861
BaseRepresentation
bin111011011100101…
…100001110000000
32120111201222220001
4323130230032000
54020312030041
6242545125344
733500364235
oct7334541600
92514658801
10997376896
11471aa202a
1223a029854
1312b82c259
149666778c
155c864131
hex3b72c380

997376896 has 64 divisors (see below), whose sum is σ = 2051179200. Its totient is φ = 482826240.

The previous prime is 997376869. The next prime is 997376909. The reversal of 997376896 is 698673799.

It is a tau number, because it is divible by the number of its divisors (64).

It is a Harshad number since it is a multiple of its sum of digits (64).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 535006 + ... + 536866.

It is an arithmetic number, because the mean of its divisors is an integer number (32049675).

Almost surely, 2997376896 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 997376896, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1025589600).

997376896 is an abundant number, since it is smaller than the sum of its proper divisors (1053802304).

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

997376896 is a wasteful number, since it uses less digits than its factorization.

997376896 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2007 (or 1995 counting only the distinct ones).

The product of its digits is 30862944, while the sum is 64.

The square root of 997376896 is about 31581.2744518013. The cubic root of 997376896 is about 999.1248663645.

The spelling of 997376896 in words is "nine hundred ninety-seven million, three hundred seventy-six thousand, eight hundred ninety-six".

Divisors: 1 2 4 8 16 32 53 64 79 106 128 158 212 316 424 632 848 1264 1696 1861 2528 3392 3722 4187 5056 6784 7444 8374 10112 14888 16748 29776 33496 59552 66992 98633 119104 133984 147019 197266 238208 267968 294038 394532 535936 588076 789064 1176152 1578128 2352304 3156256 4704608 6312512 7792007 9409216 12625024 15584014 18818432 31168028 62336056 124672112 249344224 498688448 997376896