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4332000048 = 243293112069
BaseRepresentation
bin1000000100011010…
…10001001100110000
3102011220102101220020
410002031101030300
532332443000143
61553505443440
7212231251515
oct40215211460
912156371806
104332000048
111923334832
12a0a940580
1354064494c
142d149730c
151a54a5883
hex102351330

4332000048 has 40 divisors (see below), whose sum is σ = 11576900400. Its totient is φ = 1394206464.

The previous prime is 4332000037. The next prime is 4332000053. The reversal of 4332000048 is 8400002334.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a junction number, because it is equal to n+sod(n) for n = 4331999991 and 4332000027.

It is an unprimeable number.

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 7 ways as a sum of consecutive naturals, for example, 1554643 + ... + 1557426.

It is an arithmetic number, because the mean of its divisors is an integer number (289422510).

Almost surely, 24332000048 is an apocalyptic number.

4332000048 is a gapful number since it is divisible by the number (48) formed by its first and last digit.

It is an amenable number.

4332000048 is an abundant number, since it is smaller than the sum of its proper divisors (7244900352).

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

4332000048 is a wasteful number, since it uses less digits than its factorization.

4332000048 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3112109 (or 3112103 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 24.

The square root of 4332000048 is about 65817.9310522596. The cubic root of 4332000048 is about 1630.1571916103.

It can be divided in two parts, 43320000 and 48, that multiplied together give a square (2079360000 = 456002).

The spelling of 4332000048 in words is "four billion, three hundred thirty-two million, forty-eight", and thus it is an aban number.

Divisors: 1 2 3 4 6 8 12 16 24 29 48 58 87 116 174 232 348 464 696 1392 3112069 6224138 9336207 12448276 18672414 24896552 37344828 49793104 74689656 90250001 149379312 180500002 270750003 361000004 541500006 722000008 1083000012 1444000016 2166000024 4332000048