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997464528 = 2432173311231
BaseRepresentation
bin111011011101000…
…001100111010000
32120111220110002200
4323131001213100
54020322331103
6242551043200
733501210564
oct7335014720
92514813080
10997464528
11472051955
1223a070500
1312b8600c8
149668b6a4
155c8800a3
hex3b7419d0

997464528 has 120 divisors (see below), whose sum is σ = 2967060096. Its totient is φ = 311731200.

The previous prime is 997464521. The next prime is 997464553. The reversal of 997464528 is 825464799.

997464528 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (997464521) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 809673 + ... + 810903.

Almost surely, 2997464528 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 997464528, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1483530048).

997464528 is an abundant number, since it is smaller than the sum of its proper divisors (1969595568).

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

997464528 is a wasteful number, since it uses less digits than its factorization.

997464528 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1593 (or 1584 counting only the distinct ones).

The product of its digits is 4354560, while the sum is 54.

The square root of 997464528 is about 31582.6618257550. The cubic root of 997464528 is about 999.1541273679.

The spelling of 997464528 in words is "nine hundred ninety-seven million, four hundred sixty-four thousand, five hundred twenty-eight".

Divisors: 1 2 3 4 6 8 9 12 16 17 18 24 34 36 48 51 68 72 102 136 144 153 204 272 306 331 408 612 662 816 993 1224 1231 1324 1986 2448 2462 2648 2979 3693 3972 4924 5296 5627 5958 7386 7944 9848 11079 11254 11916 14772 15888 16881 19696 20927 22158 22508 23832 29544 33762 41854 44316 45016 47664 50643 59088 62781 67524 83708 88632 90032 101286 125562 135048 167416 177264 188343 202572 251124 270096 334832 376686 405144 407461 502248 753372 810288 814922 1004496 1222383 1506744 1629844 2444766 3013488 3259688 3667149 4889532 6519376 6926837 7334298 9779064 13853674 14668596 19558128 20780511 27707348 29337192 41561022 55414696 58674384 62341533 83122044 110829392 124683066 166244088 249366132 332488176 498732264 997464528