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997485888 = 26374715791
BaseRepresentation
bin111011011101000…
…110110101000000
32120111221112101210
4323131012311000
54020324022023
6242551330120
733501330060
oct7335066500
92514845353
10997485888
11472066a03
1223a080940
1312b869a49
14966953a0
155c886593
hex3b746d40

997485888 has 112 divisors (see below), whose sum is σ = 3080577024. Its totient is φ = 278914560.

The previous prime is 997485871. The next prime is 997485899. The reversal of 997485888 is 888584799.

997485888 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Cunningham number, because it is equal to 315832-1.

It is a tau number, because it is divible by the number of its divisors (112).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 55273 + ... + 71063.

It is an arithmetic number, because the mean of its divisors is an integer number (27505152).

Almost surely, 2997485888 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 997485888, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1540288512).

997485888 is an abundant number, since it is smaller than the sum of its proper divisors (2083091136).

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

997485888 is a wasteful number, since it uses less digits than its factorization.

997485888 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15860 (or 15850 counting only the distinct ones).

The product of its digits is 46448640, while the sum is 66.

The square root of 997485888 is about 31582.9999841687. Note that the first 4 decimals coincide. The cubic root of 997485888 is about 999.1612593775.

The spelling of 997485888 in words is "nine hundred ninety-seven million, four hundred eighty-five thousand, eight hundred eighty-eight".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 32 42 47 48 56 64 84 94 96 112 141 168 188 192 224 282 329 336 376 448 564 658 672 752 987 1128 1316 1344 1504 1974 2256 2632 3008 3948 4512 5264 7896 9024 10528 15791 15792 21056 31582 31584 47373 63164 63168 94746 110537 126328 189492 221074 252656 331611 378984 442148 505312 663222 742177 757968 884296 1010624 1326444 1484354 1515936 1768592 2226531 2652888 2968708 3031872 3537184 4453062 5195239 5305776 5937416 7074368 8906124 10390478 10611552 11874832 15585717 17812248 20780956 21223104 23749664 31171434 35624496 41561912 47499328 62342868 71248992 83123824 124685736 142497984 166247648 249371472 332495296 498742944 997485888