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42796416 = 273138573
BaseRepresentation
bin1010001101000…
…0010110000000
32222112021122110
42203100112000
541423441131
64125135320
71026522615
oct243202600
988467573
1042796416
1122180643
12123ba540
138b35630
14598050c
153b55646
hex28d0580

42796416 has 64 divisors (see below), whose sum is σ = 122436720. Its totient is φ = 13166592.

The previous prime is 42796381. The next prime is 42796447. The reversal of 42796416 is 61469724.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (64).

It is a Harshad number since it is a multiple of its sum of digits (39).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 706 + ... + 9278.

Almost surely, 242796416 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 42796416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (61218360).

42796416 is an abundant number, since it is smaller than the sum of its proper divisors (79640304).

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

42796416 is a wasteful number, since it uses less digits than its factorization.

42796416 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8603 (or 8591 counting only the distinct ones).

The product of its digits is 72576, while the sum is 39.

The square root of 42796416 is about 6541.8969725914. The cubic root of 42796416 is about 349.7860352104.

The spelling of 42796416 in words is "forty-two million, seven hundred ninety-six thousand, four hundred sixteen".

Divisors: 1 2 3 4 6 8 12 13 16 24 26 32 39 48 52 64 78 96 104 128 156 192 208 312 384 416 624 832 1248 1664 2496 4992 8573 17146 25719 34292 51438 68584 102876 111449 137168 205752 222898 274336 334347 411504 445796 548672 668694 823008 891592 1097344 1337388 1646016 1783184 2674776 3292032 3566368 5349552 7132736 10699104 14265472 21398208 42796416