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42721500 = 22353191499
BaseRepresentation
bin1010001011111…
…0000011011100
32222101110212210
42202332003130
541414042000
64123400420
71026061323
oct242760334
988343783
1042721500
112212a328
1212383110
138b0a4c3
1459610ba
153b3d350
hex28be0dc

42721500 has 96 divisors (see below), whose sum is σ = 131040000. Its totient is φ = 10785600.

The previous prime is 42721463. The next prime is 42721501. The reversal of 42721500 is 512724.

42721500 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (42721501) by changing a digit.

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 31 ways as a sum of consecutive naturals, for example, 27751 + ... + 29249.

It is an arithmetic number, because the mean of its divisors is an integer number (1365000).

Almost surely, 242721500 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 42721500, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (65520000).

42721500 is an abundant number, since it is smaller than the sum of its proper divisors (88318500).

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

42721500 is a wasteful number, since it uses less digits than its factorization.

42721500 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1540 (or 1528 counting only the distinct ones).

The product of its (nonzero) digits is 560, while the sum is 21.

The square root of 42721500 is about 6536.1686024765. The cubic root of 42721500 is about 349.5818134671.

The spelling of 42721500 in words is "forty-two million, seven hundred twenty-one thousand, five hundred".

Divisors: 1 2 3 4 5 6 10 12 15 19 20 25 30 38 50 57 60 75 76 95 100 114 125 150 190 228 250 285 300 375 380 475 500 570 750 950 1140 1425 1499 1500 1900 2375 2850 2998 4497 4750 5700 5996 7125 7495 8994 9500 14250 14990 17988 22485 28481 28500 29980 37475 44970 56962 74950 85443 89940 112425 113924 142405 149900 170886 187375 224850 284810 341772 374750 427215 449700 562125 569620 712025 749500 854430 1124250 1424050 1708860 2136075 2248500 2848100 3560125 4272150 7120250 8544300 10680375 14240500 21360750 42721500