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42729470 = 2572293197
BaseRepresentation
bin1010001011111…
…1111111111110
32222101212210222
42202333333332
541414320340
64123501342
71026123500
oct242777776
988355728
1042729470
1122135313
1212387852
138b11014
145963d70
153b408b5
hex28bfffe

42729470 has 96 divisors (see below), whose sum is σ = 96526080. Its totient is φ = 13547520.

The previous prime is 42729437. The next prime is 42729473. The reversal of 42729470 is 7492724.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (35).

It is a self number, because there is not a number n which added to its sum of digits gives 42729470.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (42729473) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 440462 + ... + 440558.

It is an arithmetic number, because the mean of its divisors is an integer number (1005480).

Almost surely, 242729470 is an apocalyptic number.

42729470 is an abundant number, since it is smaller than the sum of its proper divisors (53796610).

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

42729470 is a wasteful number, since it uses less digits than its factorization.

42729470 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 178 (or 171 counting only the distinct ones).

The product of its (nonzero) digits is 28224, while the sum is 35.

The square root of 42729470 is about 6536.7782584389. The cubic root of 42729470 is about 349.6035511075.

The spelling of 42729470 in words is "forty-two million, seven hundred twenty-nine thousand, four hundred seventy".

Divisors: 1 2 5 7 10 14 29 31 35 49 58 62 70 97 98 145 155 194 203 217 245 290 310 406 434 485 490 679 899 970 1015 1085 1358 1421 1519 1798 2030 2170 2813 2842 3007 3038 3395 4495 4753 5626 6014 6293 6790 7105 7595 8990 9506 12586 14065 14210 15035 15190 19691 21049 23765 28130 30070 31465 39382 42098 44051 47530 62930 87203 88102 98455 105245 137837 147343 174406 196910 210490 220255 275674 294686 436015 440510 610421 689185 736715 872030 1220842 1378370 1473430 3052105 4272947 6104210 8545894 21364735 42729470