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875727040 = 2656314337
BaseRepresentation
bin110100001100101…
…000100011000000
32021000211112122211
4310030220203000
53243141231130
6222521511504
730462362026
oct6414504300
92230745584
10875727040
1140a363761
12205342594
1310c5783a6
148443c716
1551d34a2a
hex343288c0

875727040 has 56 divisors (see below), whose sum is σ = 2089111392. Its totient is φ = 349655040.

The previous prime is 875727019. The next prime is 875727049. The reversal of 875727040 is 40727578.

It is a Harshad number since it is a multiple of its sum of digits (40).

It is a junction number, because it is equal to n+sod(n) for n = 875726984 and 875727002.

It is not an unprimeable number, because it can be changed into a prime (875727049) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 199752 + ... + 204088.

Almost surely, 2875727040 is an apocalyptic number.

875727040 is a gapful number since it is divisible by the number (80) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 875727040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1044555696).

875727040 is an abundant number, since it is smaller than the sum of its proper divisors (1213384352).

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

875727040 is a wasteful number, since it uses less digits than its factorization.

875727040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4985 (or 4975 counting only the distinct ones).

The product of its (nonzero) digits is 109760, while the sum is 40.

The square root of 875727040 is about 29592.6855827585. The cubic root of 875727040 is about 956.7304280461.

The spelling of 875727040 in words is "eight hundred seventy-five million, seven hundred twenty-seven thousand, forty".

Divisors: 1 2 4 5 8 10 16 20 32 40 64 80 160 320 631 1262 2524 3155 4337 5048 6310 8674 10096 12620 17348 20192 21685 25240 34696 40384 43370 50480 69392 86740 100960 138784 173480 201920 277568 346960 693920 1387840 2736647 5473294 10946588 13683235 21893176 27366470 43786352 54732940 87572704 109465880 175145408 218931760 437863520 875727040