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42799320 = 23335231723
BaseRepresentation
bin1010001101000…
…1000011011000
32222112102122000
42203101003120
541424034240
64125201000
71026534234
oct243210330
988472560
1042799320
1122182843
1212400160
138b36a55
1459815c4
153b56430
hex28d10d8

42799320 has 128 divisors (see below), whose sum is σ = 148953600. Its totient is φ = 10910592.

The previous prime is 42799303. The next prime is 42799321. The reversal of 42799320 is 2399724.

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 (42799321) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 23979 + ... + 25701.

It is an arithmetic number, because the mean of its divisors is an integer number (1163700).

Almost surely, 242799320 is an apocalyptic number.

42799320 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 42799320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (74476800).

42799320 is an abundant number, since it is smaller than the sum of its proper divisors (106154280).

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

42799320 is a wasteful number, since it uses less digits than its factorization.

42799320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1766 (or 1756 counting only the distinct ones).

The product of its (nonzero) digits is 27216, while the sum is 36.

The square root of 42799320 is about 6542.1189227956. The cubic root of 42799320 is about 349.7939467426.

The spelling of 42799320 in words is "forty-two million, seven hundred ninety-nine thousand, three hundred twenty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 18 20 23 24 27 30 36 40 45 46 54 60 69 72 90 92 108 115 120 135 138 180 184 207 216 230 270 276 345 360 414 460 540 552 621 690 828 920 1035 1080 1242 1380 1656 1723 2070 2484 2760 3105 3446 4140 4968 5169 6210 6892 8280 8615 10338 12420 13784 15507 17230 20676 24840 25845 31014 34460 39629 41352 46521 51690 62028 68920 77535 79258 93042 103380 118887 124056 155070 158516 186084 198145 206760 232605 237774 310140 317032 356661 372168 396290 465210 475548 594435 620280 713322 792580 930420 951096 1069983 1188870 1426644 1585160 1783305 1860840 2139966 2377740 2853288 3566610 4279932 4755480 5349915 7133220 8559864 10699830 14266440 21399660 42799320