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975428840 = 235197511709
BaseRepresentation
bin111010001000111…
…101110011101000
32111222102220211002
4322020331303220
53444202210330
6240442454132
733113002601
oct7210756350
92458386732
10975428840
11460671141
12232804348
13127116239
1493792da8
155a97ae45
hex3a23dce8

975428840 has 64 divisors (see below), whose sum is σ = 2314656000. Its totient is φ = 368928000.

The previous prime is 975428809. The next prime is 975428863. The reversal of 975428840 is 48824579.

It is a happy number.

It is a super-2 number, since 2×9754288402 = 1902922843807491200, which contains 22 as substring.

It is a hoax number, since the sum of its digits (47) coincides with the sum of the digits of its distinct prime factors.

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, 569906 + ... + 571614.

It is an arithmetic number, because the mean of its divisors is an integer number (36166500).

Almost surely, 2975428840 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 975428840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1157328000).

975428840 is an abundant number, since it is smaller than the sum of its proper divisors (1339227160).

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

975428840 is a wasteful number, since it uses less digits than its factorization.

975428840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2490 (or 2486 counting only the distinct ones).

The product of its (nonzero) digits is 645120, while the sum is 47.

The square root of 975428840 is about 31231.8561728246. The cubic root of 975428840 is about 991.7415999054.

The spelling of 975428840 in words is "nine hundred seventy-five million, four hundred twenty-eight thousand, eight hundred forty".

Divisors: 1 2 4 5 8 10 19 20 38 40 76 95 152 190 380 751 760 1502 1709 3004 3418 3755 6008 6836 7510 8545 13672 14269 15020 17090 28538 30040 32471 34180 57076 64942 68360 71345 114152 129884 142690 162355 259768 285380 324710 570760 649420 1283459 1298840 2566918 5133836 6417295 10267672 12834590 24385721 25669180 48771442 51338360 97542884 121928605 195085768 243857210 487714420 975428840