Search a number
-
+
997905474 = 233177314891
BaseRepresentation
bin111011011110101…
…101010001000010
32120112201211222000
4323132231101002
54020430433344
6243004324430
733505025256
oct7336552102
92515654860
10997905474
11472323175
1223a243716
1312b985a17
1496764266
155c91aa69
hex3b7ad442

997905474 has 64 divisors (see below), whose sum is σ = 2380337280. Its totient is φ = 308759040.

The previous prime is 997905473. The next prime is 997905499. The reversal of 997905474 is 474509799.

997905474 is a `hidden beast` number, since 9 + 9 + 7 + 90 + 547 + 4 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a self number, because there is not a number n which added to its sum of digits gives 997905474.

It is not an unprimeable number, because it can be changed into a prime (997905473) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 59569 + ... + 74459.

It is an arithmetic number, because the mean of its divisors is an integer number (37192770).

Almost surely, 2997905474 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 997905474, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1190168640).

997905474 is an abundant number, since it is smaller than the sum of its proper divisors (1382431806).

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

997905474 is a wasteful number, since it uses less digits than its factorization.

997905474 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 14992 (or 14986 counting only the distinct ones).

The product of its (nonzero) digits is 2857680, while the sum is 54.

The square root of 997905474 is about 31589.6418783119. The cubic root of 997905474 is about 999.3013366499.

The spelling of 997905474 in words is "nine hundred ninety-seven million, nine hundred five thousand, four hundred seventy-four".

Divisors: 1 2 3 6 9 17 18 27 34 51 54 73 102 146 153 219 306 438 459 657 918 1241 1314 1971 2482 3723 3942 7446 11169 14891 22338 29782 33507 44673 67014 89346 134019 253147 268038 402057 506294 759441 804114 1087043 1518882 2174086 2278323 3261129 4556646 6522258 6834969 9783387 13669938 18479731 19566774 29350161 36959462 55439193 58700322 110878386 166317579 332635158 498952737 997905474