Search a number
-
+
997075352 = 237133473947
BaseRepresentation
bin111011011011100…
…010100110011000
32120111011200020202
4323123202212120
54020222402402
6242534441332
733465000140
oct7333424630
92514150222
10997075352
11471906519
12239b03248
1312b754c20
14965c9920
155c804b02
hex3b6e2998

997075352 has 64 divisors (see below), whose sum is σ = 2308158720. Its totient is φ = 393211008.

The previous prime is 997075291. The next prime is 997075393. The reversal of 997075352 is 253570799.

It is a junction number, because it is equal to n+sod(n) for n = 997075297 and 997075306.

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, 250643 + ... + 254589.

It is an arithmetic number, because the mean of its divisors is an integer number (36064980).

Almost surely, 2997075352 is an apocalyptic number.

It is a pronic number, being equal to 31576×31577.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 997075352, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1154079360).

997075352 is an abundant number, since it is smaller than the sum of its proper divisors (1311083368).

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

997075352 is a wasteful number, since it uses less digits than its factorization.

997075352 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4320 (or 4316 counting only the distinct ones).

The product of its (nonzero) digits is 595350, while the sum is 47.

The square root of 997075352 is about 31576.4999960414. The cubic root of 997075352 is about 999.0241653899.

The spelling of 997075352 in words is "nine hundred ninety-seven million, seventy-five thousand, three hundred fifty-two".

Divisors: 1 2 4 7 8 13 14 26 28 52 56 91 104 182 347 364 694 728 1388 2429 2776 3947 4511 4858 7894 9022 9716 15788 18044 19432 27629 31576 31577 36088 51311 55258 63154 102622 110516 126308 205244 221032 252616 359177 410488 718354 1369609 1436708 2739218 2873416 5478436 9587263 10956872 17804917 19174526 35609834 38349052 71219668 76698104 124634419 142439336 249268838 498537676 997075352