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30249972 = 2232840277
BaseRepresentation
bin111001101100…
…1001111110100
32002220212011100
41303121033310
530220444342
63000210100
7515056224
oct163311764
962825140
1030249972
1116091285
12a169930
1363619bc
144036084
1529c7e4c
hex1cd93f4

30249972 has 18 divisors (see below), whose sum is σ = 76465298. Its totient is φ = 10083312.

The previous prime is 30249971. The next prime is 30250001. The reversal of 30249972 is 27994203.

It can be written as a sum of positive squares in only one way, i.e., 20738916 + 9511056 = 4554^2 + 3084^2 .

It is a tau number, because it is divible by the number of its divisors (18).

It is a Harshad number since it is a multiple of its sum of digits (36), and also a Moran number because the ratio is a prime number: 840277 = 30249972 / (3 + 0 + 2 + 4 + 9 + 9 + 7 + 2).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (30249971) 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, 420103 + ... + 420174.

Almost surely, 230249972 is an apocalyptic number.

It is an amenable number.

30249972 is an abundant number, since it is smaller than the sum of its proper divisors (46215326).

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

30249972 is a wasteful number, since it uses less digits than its factorization.

30249972 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 840287 (or 840282 counting only the distinct ones).

The product of its (nonzero) digits is 27216, while the sum is 36.

The square root of 30249972 is about 5499.9974545449. The cubic root of 30249972 is about 311.5838880824.

It can be divided in two parts, 3024 and 9972, that added together give a square (12996 = 1142).

The spelling of 30249972 in words is "thirty million, two hundred forty-nine thousand, nine hundred seventy-two".

Divisors: 1 2 3 4 6 9 12 18 36 840277 1680554 2520831 3361108 5041662 7562493 10083324 15124986 30249972