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30291872 = 251372817
BaseRepresentation
bin111001110001…
…1011110100000
32002222222122012
41303203132200
530223314442
63001132052
7515322332
oct163433640
962888565
1030291872
111610a806
12a18a028
136377ab0
144047452
1529d5582
hex1ce37a0

30291872 has 24 divisors (see below), whose sum is σ = 64225476. Its totient is φ = 13980672.

The previous prime is 30291869. The next prime is 30291881. The reversal of 30291872 is 27819203.

It can be written as a sum of positive squares in 2 ways, for example, as 29116816 + 1175056 = 5396^2 + 1084^2 .

It is a Harshad number since it is a multiple of its sum of digits (32).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 35993 + ... + 36824.

Almost surely, 230291872 is an apocalyptic number.

30291872 is a gapful number since it is divisible by the number (32) formed by its first and last digit.

It is an amenable number.

30291872 is an abundant number, since it is smaller than the sum of its proper divisors (33933604).

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

30291872 is a wasteful number, since it uses less digits than its factorization.

30291872 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 72840 (or 72832 counting only the distinct ones).

The product of its (nonzero) digits is 6048, while the sum is 32.

The square root of 30291872 is about 5503.8052291119. The cubic root of 30291872 is about 311.7276826152.

The spelling of 30291872 in words is "thirty million, two hundred ninety-one thousand, eight hundred seventy-two".

Divisors: 1 2 4 8 13 16 26 32 52 104 208 416 72817 145634 291268 582536 946621 1165072 1893242 2330144 3786484 7572968 15145936 30291872