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30871872 = 263253597
BaseRepresentation
bin111010111000…
…1000101000000
32011002110020200
41311301011000
530400344442
63021405200
7523256313
oct165610500
964073220
1030871872
1116476549
12a409800
13651baa5
14415897a
152a9c34c
hex1d71140

30871872 has 42 divisors (see below), whose sum is σ = 88490298. Its totient is φ = 10290432.

The previous prime is 30871871. The next prime is 30871873. The reversal of 30871872 is 27817803.

It is an interprime number because it is at equal distance from previous prime (30871871) and next prime (30871873).

It can be written as a sum of positive squares in only one way, i.e., 30206016 + 665856 = 5496^2 + 816^2 .

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (30871871) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 26223 + ... + 27374.

Almost surely, 230871872 is an apocalyptic number.

30871872 is a gapful number since it is divisible by the number (32) formed by its first and last digit.

It is an amenable number.

30871872 is an abundant number, since it is smaller than the sum of its proper divisors (57618426).

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

30871872 is a wasteful number, since it uses less digits than its factorization.

30871872 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 53615 (or 53602 counting only the distinct ones).

The product of its (nonzero) digits is 18816, while the sum is 36.

The square root of 30871872 is about 5556.2462148469. The cubic root of 30871872 is about 313.7046731661.

The spelling of 30871872 in words is "thirty million, eight hundred seventy-one thousand, eight hundred seventy-two".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 64 72 96 144 192 288 576 53597 107194 160791 214388 321582 428776 482373 643164 857552 964746 1286328 1715104 1929492 2572656 3430208 3858984 5145312 7717968 10290624 15435936 30871872