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42716232 = 23321347971
BaseRepresentation
bin1010001011110…
…0110001001000
32222101012122200
42202330301020
541413404412
64123320200
71026040056
oct242746110
988335580
1042716232
1122126379
1212380060
138b07ca0
14595d1d6
153b3b9dc
hex28bcc48

42716232 has 96 divisors (see below), whose sum is σ = 127370880. Its totient is φ = 12850560.

The previous prime is 42716213. The next prime is 42716273. The reversal of 42716232 is 23261724.

42716232 is a `hidden beast` number, since 427 + 1 + 6 + 232 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 42716196 and 42716205.

It is a congruent number.

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 23 ways as a sum of consecutive naturals, for example, 43507 + ... + 44477.

It is an arithmetic number, because the mean of its divisors is an integer number (1326780).

Almost surely, 242716232 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 42716232, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (63685440).

42716232 is an abundant number, since it is smaller than the sum of its proper divisors (84654648).

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

42716232 is a wasteful number, since it uses less digits than its factorization.

42716232 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1043 (or 1036 counting only the distinct ones).

The product of its digits is 4032, while the sum is 27.

The square root of 42716232 is about 6535.7656016721. The cubic root of 42716232 is about 349.5674438664.

Adding to 42716232 its reverse (23261724), we get a palindrome (65977956).

The spelling of 42716232 in words is "forty-two million, seven hundred sixteen thousand, two hundred thirty-two".

Divisors: 1 2 3 4 6 8 9 12 13 18 24 26 36 39 47 52 72 78 94 104 117 141 156 188 234 282 312 376 423 468 564 611 846 936 971 1128 1222 1692 1833 1942 2444 2913 3384 3666 3884 4888 5499 5826 7332 7768 8739 10998 11652 12623 14664 17478 21996 23304 25246 34956 37869 43992 45637 50492 69912 75738 91274 100984 113607 136911 151476 182548 227214 273822 302952 365096 410733 454428 547644 593281 821466 908856 1095288 1186562 1642932 1779843 2373124 3285864 3559686 4746248 5339529 7119372 10679058 14238744 21358116 42716232