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997000480 = 25578391061
BaseRepresentation
bin111011011011010…
…000010100100000
32120111000212112201
4323123100110200
54020213003410
6242533102544
733464235640
oct7333202440
92514025481
10997000480
11471865243
12239a87a54
1312b729b18
14965aa520
155c7dc83a
hex3b6d0520

997000480 has 96 divisors (see below), whose sum is σ = 2697649920. Its totient is φ = 341099520.

The previous prime is 997000457. The next prime is 997000507. The reversal of 997000480 is 84000799.

It is a happy number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 939150 + ... + 940210.

It is an arithmetic number, because the mean of its divisors is an integer number (28100520).

Almost surely, 2997000480 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 997000480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1348824960).

997000480 is an abundant number, since it is smaller than the sum of its proper divisors (1700649440).

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

997000480 is a wasteful number, since it uses less digits than its factorization.

997000480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1922 (or 1914 counting only the distinct ones).

The product of its (nonzero) digits is 18144, while the sum is 37.

The square root of 997000480 is about 31575.3144085692. The cubic root of 997000480 is about 998.9991586508. Note that the first 3 decimals are identical.

The spelling of 997000480 in words is "nine hundred ninety-seven million, four hundred eighty", and thus it is an aban number.

Divisors: 1 2 4 5 7 8 10 14 16 20 28 32 35 40 56 70 80 112 140 160 224 280 560 839 1061 1120 1678 2122 3356 4195 4244 5305 5873 6712 7427 8390 8488 10610 11746 13424 14854 16780 16976 21220 23492 26848 29365 29708 33560 33952 37135 42440 46984 58730 59416 67120 74270 84880 93968 117460 118832 134240 148540 169760 187936 234920 237664 297080 469840 594160 890179 939680 1188320 1780358 3560716 4450895 6231253 7121432 8901790 12462506 14242864 17803580 24925012 28485728 31156265 35607160 49850024 62312530 71214320 99700048 124625060 142428640 199400096 249250120 498500240 997000480