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997464 = 2331323139
BaseRepresentation
bin11110011100001011000
31212200021010
43303201120
5223404324
633213520
711323026
oct3634130
91780233
10997464
11621456
124012a0
1328c020
141bd716
1514a829
hexf3858

997464 has 64 divisors (see below), whose sum is σ = 2822400. Its totient is φ = 291456.

The previous prime is 997463. The next prime is 997511. The reversal of 997464 is 464799.

997464 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (39).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (997463) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 7107 + ... + 7245.

It is an arithmetic number, because the mean of its divisors is an integer number (44100).

2997464 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 997464, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1411200).

997464 is an abundant number, since it is smaller than the sum of its proper divisors (1824936).

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

997464 is a wasteful number, since it uses less digits than its factorization.

997464 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 184 (or 180 counting only the distinct ones).

The product of its digits is 54432, while the sum is 39.

The square root of 997464 is about 998.7311950670. The cubic root of 997464 is about 99.9153951070.

The spelling of 997464 in words is "nine hundred ninety-seven thousand, four hundred sixty-four".

Divisors: 1 2 3 4 6 8 12 13 23 24 26 39 46 52 69 78 92 104 138 139 156 184 276 278 299 312 417 552 556 598 834 897 1112 1196 1668 1794 1807 2392 3197 3336 3588 3614 5421 6394 7176 7228 9591 10842 12788 14456 19182 21684 25576 38364 41561 43368 76728 83122 124683 166244 249366 332488 498732 997464