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42734616 = 2333171809
BaseRepresentation
bin1010001100000…
…1010000011000
32222102010212120
42203001100120
541420001431
64123541240
71026144501
oct243012030
988363776
1042734616
1122139171
121238a820
138b13472
145965ba8
153b42196
hex28c1418

42734616 has 64 divisors (see below), whose sum is σ = 111974400. Its totient is φ = 13574400.

The previous prime is 42734599. The next prime is 42734663. The reversal of 42734616 is 61643724.

It is a happy number.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 52420 + ... + 53228.

It is an arithmetic number, because the mean of its divisors is an integer number (1749600).

Almost surely, 242734616 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 42734616, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (55987200).

42734616 is an abundant number, since it is smaller than the sum of its proper divisors (69239784).

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

42734616 is a wasteful number, since it uses less digits than its factorization.

42734616 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 920 (or 916 counting only the distinct ones).

The product of its digits is 24192, while the sum is 33.

The square root of 42734616 is about 6537.1718655700. The cubic root of 42734616 is about 349.6175850413.

The spelling of 42734616 in words is "forty-two million, seven hundred thirty-four thousand, six hundred sixteen".

Divisors: 1 2 3 4 6 8 12 24 31 62 71 93 124 142 186 213 248 284 372 426 568 744 809 852 1618 1704 2201 2427 3236 4402 4854 6472 6603 8804 9708 13206 17608 19416 25079 26412 50158 52824 57439 75237 100316 114878 150474 172317 200632 229756 300948 344634 459512 601896 689268 1378536 1780609 3561218 5341827 7122436 10683654 14244872 21367308 42734616