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30286272 = 263233677
BaseRepresentation
bin111001110001…
…0000111000000
32002222200221210
41303202013000
530223130042
63001050120
7515300112
oct163420700
962880853
1030286272
1116106585
12a186940
136375393
1440453b2
1529d3a9c
hex1ce21c0

30286272 has 56 divisors (see below), whose sum is σ = 80595216. Its totient is φ = 10037248.

The previous prime is 30286271. The next prime is 30286273. The reversal of 30286272 is 27268203.

It is an interprime number because it is at equal distance from previous prime (30286271) and next prime (30286273).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (30286271) 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, 44398 + ... + 45074.

Almost surely, 230286272 is an apocalyptic number.

30286272 is a gapful number since it is divisible by the number (32) 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 30286272, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (40297608).

30286272 is an abundant number, since it is smaller than the sum of its proper divisors (50308944).

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

30286272 is a wasteful number, since it uses less digits than its factorization.

30286272 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 925 (or 915 counting only the distinct ones).

The product of its (nonzero) digits is 8064, while the sum is 30.

The square root of 30286272 is about 5503.2964666643. The cubic root of 30286272 is about 311.7084719326.

The spelling of 30286272 in words is "thirty million, two hundred eighty-six thousand, two hundred seventy-two".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 64 96 192 233 466 677 699 932 1354 1398 1864 2031 2708 2796 3728 4062 5416 5592 7456 8124 10832 11184 14912 16248 21664 22368 32496 43328 44736 64992 129984 157741 315482 473223 630964 946446 1261928 1892892 2523856 3785784 5047712 7571568 10095424 15143136 30286272