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4381672752 = 243317596633
BaseRepresentation
bin1000001010010101…
…10000010100110000
3102022100220001001000
410011022300110300
532433202012002
62002442242000
7213403414062
oct40512602460
912270801030
104381672752
111949381656
12a234b6300
1354aa17092
142d7d07732
151a9a1861c
hex1052b0530

4381672752 has 80 divisors (see below), whose sum is σ = 13316870880. Its totient is φ = 1374640128.

The previous prime is 4381672741. The next prime is 4381672759. The reversal of 4381672752 is 2572761834.

4381672752 is a `hidden beast` number, since 438 + 167 + 2 + 7 + 52 = 666.

It is a super-3 number, since 3×43816727523 (a number of 30 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a hoax number, since the sum of its digits (45) coincides with the sum of the digits of its distinct prime factors.

It is a junction number, because it is equal to n+sod(n) for n = 4381672698 and 4381672707.

It is not an unprimeable number, because it can be changed into a prime (4381672759) 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 15 ways as a sum of consecutive naturals, for example, 290973 + ... + 305660.

It is an arithmetic number, because the mean of its divisors is an integer number (166460886).

Almost surely, 24381672752 is an apocalyptic number.

It is an amenable number.

4381672752 is an abundant number, since it is smaller than the sum of its proper divisors (8935198128).

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

4381672752 is a wasteful number, since it uses less digits than its factorization.

4381672752 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 596667 (or 596655 counting only the distinct ones).

The product of its digits is 564480, while the sum is 45.

The square root of 4381672752 is about 66194.2048218724. The cubic root of 4381672752 is about 1636.3642380200.

The spelling of 4381672752 in words is "four billion, three hundred eighty-one million, six hundred seventy-two thousand, seven hundred fifty-two".

Divisors: 1 2 3 4 6 8 9 12 16 17 18 24 27 34 36 48 51 54 68 72 102 108 136 144 153 204 216 272 306 408 432 459 612 816 918 1224 1836 2448 3672 7344 596633 1193266 1789899 2386532 3579798 4773064 5369697 7159596 9546128 10142761 10739394 14319192 16109091 20285522 21478788 28638384 30428283 32218182 40571044 42957576 60856566 64436364 81142088 85915152 91284849 121713132 128872728 162284176 182569698 243426264 257745456 273854547 365139396 486852528 547709094 730278792 1095418188 1460557584 2190836376 4381672752