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72889002 = 2324049389
BaseRepresentation
bin1000101100000…
…11001010101010
312002011010220200
410112003022222
5122124422002
611122133030
71543355244
oct426031252
9162133820
1072889002
113816464a
12204b1176
13121407b4
149975094
1565ebb1c
hex45832aa

72889002 has 12 divisors (see below), whose sum is σ = 157926210. Its totient is φ = 24296328.

The previous prime is 72888989. The next prime is 72889007. The reversal of 72889002 is 20098827.

It can be written as a sum of positive squares in only one way, i.e., 72743841 + 145161 = 8529^2 + 381^2 .

It is a super-2 number, since 2×728890022 = 10625613225112008, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (72889007) 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 5 ways as a sum of consecutive naturals, for example, 2024677 + ... + 2024712.

Almost surely, 272889002 is an apocalyptic number.

72889002 is an abundant number, since it is smaller than the sum of its proper divisors (85037208).

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

72889002 is a wasteful number, since it uses less digits than its factorization.

72889002 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4049397 (or 4049394 counting only the distinct ones).

The product of its (nonzero) digits is 16128, while the sum is 36.

The square root of 72889002 is about 8537.5056076116. The cubic root of 72889002 is about 417.7219864814.

It can be divided in two parts, 7288 and 9002, that added together give a triangular number (16290 = T180).

The spelling of 72889002 in words is "seventy-two million, eight hundred eighty-nine thousand, two".

Divisors: 1 2 3 6 9 18 4049389 8098778 12148167 24296334 36444501 72889002