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952950040 = 2357369457
BaseRepresentation
bin111000110011001…
…101110100011000
32110102010212200221
4320303031310120
53422423400130
6234321005424
732420641000
oct7063156430
92412125627
10952950040
11449a08519
12227183874
13122575783
14907c1000
15589da87a
hex38ccdd18

952950040 has 64 divisors (see below), whose sum is σ = 2500488000. Its totient is φ = 326721024.

The previous prime is 952950029. The next prime is 952950041. The reversal of 952950040 is 40059259.

952950040 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×9529500402 = 1816227557472003200, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 952949978 and 952950005.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (952950041) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 21009 + ... + 48448.

It is an arithmetic number, because the mean of its divisors is an integer number (39070125).

Almost surely, 2952950040 is an apocalyptic number.

It is an amenable number.

952950040 is an abundant number, since it is smaller than the sum of its proper divisors (1547537960).

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

952950040 is a wasteful number, since it uses less digits than its factorization.

952950040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 69489 (or 69471 counting only the distinct ones).

The product of its (nonzero) digits is 16200, while the sum is 34.

The square root of 952950040 is about 30869.8888886889. Note that the first 6 decimals coincide. The cubic root of 952950040 is about 984.0640752996.

The spelling of 952950040 in words is "nine hundred fifty-two million, nine hundred fifty thousand, forty".

Divisors: 1 2 4 5 7 8 10 14 20 28 35 40 49 56 70 98 140 196 245 280 343 392 490 686 980 1372 1715 1960 2744 3430 6860 13720 69457 138914 277828 347285 486199 555656 694570 972398 1389140 1944796 2430995 2778280 3403393 3889592 4861990 6806786 9723980 13613572 17016965 19447960 23823751 27227144 34033930 47647502 68067860 95295004 119118755 136135720 190590008 238237510 476475020 952950040