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30091842 = 23211379401
BaseRepresentation
bin111001011001…
…0101001000010
32002121211020200
41302302221002
530200414332
62552550030
7513530214
oct162625102
962554220
1030091842
1115a934a0
12a0b2316
136307a31
143dd45b4
15299617c
hex1cb2a42

30091842 has 48 divisors (see below), whose sum is σ = 71491680. Its totient is φ = 9072000.

The previous prime is 30091837. The next prime is 30091847. The reversal of 30091842 is 24819003.

It is an interprime number because it is at equal distance from previous prime (30091837) and next prime (30091847).

It is not an unprimeable number, because it can be changed into a prime (30091847) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 74842 + ... + 75242.

It is an arithmetic number, because the mean of its divisors is an integer number (1489410).

Almost surely, 230091842 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 30091842, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (35745840).

30091842 is an abundant number, since it is smaller than the sum of its proper divisors (41399838).

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

30091842 is a wasteful number, since it uses less digits than its factorization.

30091842 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 799 (or 796 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 27.

The square root of 30091842 is about 5485.6031573565. The cubic root of 30091842 is about 311.0400102920.

It can be divided in two parts, 3009 and 1842, that added together give a triangular number (4851 = T98).

The spelling of 30091842 in words is "thirty million, ninety-one thousand, eight hundred forty-two".

Divisors: 1 2 3 6 9 11 18 22 33 66 99 198 379 401 758 802 1137 1203 2274 2406 3411 3609 4169 4411 6822 7218 8338 8822 12507 13233 25014 26466 37521 39699 75042 79398 151979 303958 455937 911874 1367811 1671769 2735622 3343538 5015307 10030614 15045921 30091842