Search a number
-
+
997507572 = 2231759179463
BaseRepresentation
bin111011011101001…
…100000111110100
32120111222122010220
4323131030013310
54020330220242
6242552014340
733501450225
oct7335140764
92514878126
10997507572
11472081226
1223a0913b0
1312b876889
149669d24c
155c88cbec
hex3b74c1f4

997507572 has 96 divisors (see below), whose sum is σ = 2525644800. Its totient is φ = 305260032.

The previous prime is 997507571. The next prime is 997507597. The reversal of 997507572 is 275705799.

It is a Harshad number since it is a multiple of its sum of digits (51).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (997507571) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2154213 + ... + 2154675.

It is an arithmetic number, because the mean of its divisors is an integer number (26308800).

Almost surely, 2997507572 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 997507572, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1262822400).

997507572 is an abundant number, since it is smaller than the sum of its proper divisors (1528137228).

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

997507572 is a wasteful number, since it uses less digits than its factorization.

997507572 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 725 (or 723 counting only the distinct ones).

The product of its (nonzero) digits is 1389150, while the sum is 51.

The square root of 997507572 is about 31583.3432682482. The cubic root of 997507572 is about 999.1684994652.

The spelling of 997507572 in words is "nine hundred ninety-seven million, five hundred seven thousand, five hundred seventy-two".

Divisors: 1 2 3 4 6 12 17 34 51 59 68 102 118 177 179 204 236 354 358 463 537 708 716 926 1003 1074 1389 1852 2006 2148 2778 3009 3043 4012 5556 6018 6086 7871 9129 10561 12036 12172 15742 18258 21122 23613 27317 31484 31683 36516 42244 47226 54634 63366 81951 82877 94452 109268 126732 163902 165754 179537 248631 327804 331508 359074 464389 497262 538611 718148 928778 994524 1077222 1393167 1408909 1857556 2154444 2786334 2817818 4226727 4889743 5572668 5635636 8453454 9779486 14669229 16906908 19558972 29338458 58676916 83125631 166251262 249376893 332502524 498753786 997507572