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42931746 = 232111321283
BaseRepresentation
bin1010001111000…
…1011000100010
32222210011021200
42203301120202
541442303441
64132102030
71030625304
oct243613042
988704250
1042931746
1122263290
1212464916
138b82100
1459b7974
153b807b6
hex28f1622

42931746 has 72 divisors (see below), whose sum is σ = 109966896. Its totient is φ = 11999520.

The previous prime is 42931723. The next prime is 42931747. The reversal of 42931746 is 64713924.

It is a Curzon number.

It is a self number, because there is not a number n which added to its sum of digits gives 42931746.

It is not an unprimeable number, because it can be changed into a prime (42931747) 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 35 ways as a sum of consecutive naturals, for example, 32821 + ... + 34103.

It is an arithmetic number, because the mean of its divisors is an integer number (1527318).

Almost surely, 242931746 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 42931746, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (54983448).

42931746 is an abundant number, since it is smaller than the sum of its proper divisors (67035150).

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

42931746 is a wasteful number, since it uses less digits than its factorization.

42931746 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1328 (or 1312 counting only the distinct ones).

The product of its digits is 36288, while the sum is 36.

The square root of 42931746 is about 6552.2321387448. The cubic root of 42931746 is about 350.1543428123.

The spelling of 42931746 in words is "forty-two million, nine hundred thirty-one thousand, seven hundred forty-six".

Divisors: 1 2 3 6 9 11 13 18 22 26 33 39 66 78 99 117 143 169 198 234 286 338 429 507 858 1014 1283 1287 1521 1859 2566 2574 3042 3718 3849 5577 7698 11154 11547 14113 16679 16731 23094 28226 33358 33462 42339 50037 84678 100074 127017 150111 183469 216827 254034 300222 366938 433654 550407 650481 1100814 1300962 1651221 1951443 2385097 3302442 3902886 4770194 7155291 14310582 21465873 42931746