Search a number
-
+
997753432 = 231323449929
BaseRepresentation
bin111011011110001…
…000001001011000
32120112110010101211
4323132020021120
54020411102212
6243001152504
733503523064
oct7336101130
92515403354
10997753432
11472229a15
1223a18b734
1312b931760
1496724aa4
155c8da9a7
hex3b788258

997753432 has 64 divisors (see below), whose sum is σ = 2109240000. Its totient is φ = 439025664.

The previous prime is 997753429. The next prime is 997753483. The reversal of 997753432 is 234357799.

It is a super-2 number, since 2×9977534322 = 1991023822135557248, which contains 22 as substring.

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, 1073544 + ... + 1074472.

It is an arithmetic number, because the mean of its divisors is an integer number (32956875).

Almost surely, 2997753432 is an apocalyptic number.

997753432 is a gapful number since it is divisible by the number (92) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 997753432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1054620000).

997753432 is an abundant number, since it is smaller than the sum of its proper divisors (1111486568).

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

997753432 is a wasteful number, since it uses less digits than its factorization.

997753432 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1420 (or 1416 counting only the distinct ones).

The product of its digits is 1428840, while the sum is 49.

The square root of 997753432 is about 31587.2352699631. The cubic root of 997753432 is about 999.2505825137.

The spelling of 997753432 in words is "nine hundred ninety-seven million, seven hundred fifty-three thousand, four hundred thirty-two".

Divisors: 1 2 4 8 13 23 26 46 52 92 104 184 299 449 598 898 929 1196 1796 1858 2392 3592 3716 5837 7432 10327 11674 12077 20654 21367 23348 24154 41308 42734 46696 48308 82616 85468 96616 134251 170936 268502 277771 417121 537004 555542 834242 1074008 1111084 1668484 2222168 3336968 5422573 9593783 10845146 19187566 21690292 38375132 43380584 76750264 124719179 249438358 498876716 997753432