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42934452 = 223111719253
BaseRepresentation
bin1010001111001…
…0000010110100
32222210021222220
42203302002310
541442400302
64132122340
71030636221
oct243620264
988707886
1042934452
1122265320
12124663b0
138b83402
1459b8948
153b814bc
hex28f20b4

42934452 has 144 divisors (see below), whose sum is σ = 124431552. Its totient is φ = 11381760.

The previous prime is 42934447. The next prime is 42934457. The reversal of 42934452 is 25443924.

It is an interprime number because it is at equal distance from previous prime (42934447) and next prime (42934457).

It is a hoax number, since the sum of its digits (33) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (42934457) 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 47 ways as a sum of consecutive naturals, for example, 810058 + ... + 810110.

It is an arithmetic number, because the mean of its divisors is an integer number (864108).

Almost surely, 242934452 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 42934452, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (62215776).

42934452 is an abundant number, since it is smaller than the sum of its proper divisors (81497100).

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

42934452 is a wasteful number, since it uses less digits than its factorization.

42934452 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 126 (or 105 counting only the distinct ones).

The product of its digits is 34560, while the sum is 33.

The square root of 42934452 is about 6552.4386300064. The cubic root of 42934452 is about 350.1616994333.

The spelling of 42934452 in words is "forty-two million, nine hundred thirty-four thousand, four hundred fifty-two".

Divisors: 1 2 3 4 6 11 12 17 19 22 33 34 38 44 51 53 57 66 68 76 102 106 114 132 159 187 204 209 212 228 318 323 361 374 418 561 583 627 636 646 722 748 836 901 969 1007 1083 1122 1166 1254 1292 1444 1749 1802 1938 2014 2166 2244 2332 2508 2703 3021 3498 3553 3604 3876 3971 4028 4332 5406 6042 6137 6996 7106 7942 9911 10659 10812 11077 11913 12084 12274 14212 15884 17119 18411 19133 19822 21318 22154 23826 24548 29733 33231 34238 36822 38266 39644 42636 44308 47652 51357 57399 59466 66462 67507 68476 73644 76532 102714 114798 118932 132924 135014 188309 202521 205428 210463 229596 270028 325261 376618 405042 420926 564927 631389 650522 753236 810084 841852 975783 1129854 1262778 1301044 1951566 2259708 2525556 3577871 3903132 7155742 10733613 14311484 21467226 42934452