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969952893 = 37313312339
BaseRepresentation
bin111001110100000…
…100111001111101
32111121010201020020
4321310010321331
53441301443033
6240125242353
733015315000
oct7164047175
92447121206
10969952893
11458570a68
12230a033b9
13125c49930
1492b69537
155a2486b3
hex39d04e7d

969952893 has 64 divisors (see below), whose sum is σ = 1677312000. Its totient is φ = 494907840.

The previous prime is 969952873. The next prime is 969952961. The reversal of 969952893 is 398259969.

It is not a de Polignac number, because 969952893 - 28 = 969952637 is a prime.

It is a super-2 number, since 2×9699528932 = 1881617229278138898, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (969952843) 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 63 ways as a sum of consecutive naturals, for example, 413518 + ... + 415856.

It is an arithmetic number, because the mean of its divisors is an integer number (26208000).

Almost surely, 2969952893 is an apocalyptic number.

969952893 is a gapful number since it is divisible by the number (93) formed by its first and last digit.

It is an amenable number.

969952893 is a deficient number, since it is larger than the sum of its proper divisors (707359107).

969952893 is a wasteful number, since it uses less digits than its factorization.

969952893 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2407 (or 2393 counting only the distinct ones).

The product of its digits is 9447840, while the sum is 60.

The square root of 969952893 is about 31144.0667383051. The cubic root of 969952893 is about 989.8822745433.

The spelling of 969952893 in words is "nine hundred sixty-nine million, nine hundred fifty-two thousand, eight hundred ninety-three".

Divisors: 1 3 7 13 21 31 39 49 91 93 147 217 273 343 403 637 651 1029 1209 1519 1911 2339 2821 4459 4557 7017 8463 10633 13377 16373 19747 30407 31899 49119 59241 72509 91221 114611 138229 212849 217527 343833 414687 507563 638547 802277 942617 1489943 1522689 2406831 2827851 3552941 4469829 6598319 10429601 10658823 19794957 24870587 31288803 46188233 74611761 138564699 323317631 969952893