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42734592 = 210324637
BaseRepresentation
bin1010001100000…
…1010000000000
32222102010211200
42203001100000
541420001332
64123541200
71026144435
oct243012000
988363750
1042734592
112213914a
121238a800
138b13454
145965b8c
153b4217c
hex28c1400

42734592 has 66 divisors (see below), whose sum is σ = 123421818. Its totient is φ = 14241792.

The previous prime is 42734569. The next prime is 42734599. The reversal of 42734592 is 29543724.

It can be written as a sum of positive squares in only one way, i.e., 32080896 + 10653696 = 5664^2 + 3264^2 .

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (42734599) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 6898 + ... + 11534.

Almost surely, 242734592 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 42734592, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (61710909).

42734592 is an abundant number, since it is smaller than the sum of its proper divisors (80687226).

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

42734592 is a wasteful number, since it uses less digits than its factorization.

42734592 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4663 (or 4642 counting only the distinct ones).

The product of its digits is 60480, while the sum is 36.

The square root of 42734592 is about 6537.1700299136. The cubic root of 42734592 is about 349.6175195922.

The spelling of 42734592 in words is "forty-two million, seven hundred thirty-four thousand, five hundred ninety-two".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 64 72 96 128 144 192 256 288 384 512 576 768 1024 1152 1536 2304 3072 4608 4637 9216 9274 13911 18548 27822 37096 41733 55644 74192 83466 111288 148384 166932 222576 296768 333864 445152 593536 667728 890304 1187072 1335456 1780608 2374144 2670912 3561216 4748288 5341824 7122432 10683648 14244864 21367296 42734592