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42799104 = 2123543
BaseRepresentation
bin1010001101000…
…1000000000000
32222112102100000
42203101000000
541424032404
64125200000
71026533505
oct243210000
988472300
1042799104
1122182667
1212400000
138b3691a
1459814ac
153b56339
hex28d1000

42799104 has 156 divisors (see below), whose sum is σ = 131187056. Its totient is φ = 13934592.

The previous prime is 42799103. The next prime is 42799109. The reversal of 42799104 is 40199724.

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

It is not an unprimeable number, because it can be changed into a prime (42799103) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 995307 + ... + 995349.

Almost surely, 242799104 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 42799104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (65593528).

42799104 is an abundant number, since it is smaller than the sum of its proper divisors (88387952).

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

42799104 is an frugal number, since it uses more digits than its factorization.

42799104 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 82 (or 48 counting only the distinct ones).

The product of its (nonzero) digits is 18144, while the sum is 36.

The square root of 42799104 is about 6542.1024143619. The cubic root of 42799104 is about 349.7933582938.

The spelling of 42799104 in words is "forty-two million, seven hundred ninety-nine thousand, one hundred four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 43 48 54 64 72 81 86 96 108 128 129 144 162 172 192 216 243 256 258 288 324 344 384 387 432 486 512 516 576 648 688 768 774 864 972 1024 1032 1152 1161 1296 1376 1536 1548 1728 1944 2048 2064 2304 2322 2592 2752 3072 3096 3456 3483 3888 4096 4128 4608 4644 5184 5504 6144 6192 6912 6966 7776 8256 9216 9288 10368 10449 11008 12288 12384 13824 13932 15552 16512 18432 18576 20736 20898 22016 24768 27648 27864 31104 33024 36864 37152 41472 41796 44032 49536 55296 55728 62208 66048 74304 82944 83592 88064 99072 110592 111456 124416 132096 148608 165888 167184 176128 198144 222912 248832 264192 297216 331776 334368 396288 445824 497664 528384 594432 668736 792576 891648 995328 1188864 1337472 1585152 1783296 2377728 2674944 3566592 4755456 5349888 7133184 10699776 14266368 21399552 42799104