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42699400 = 2352317197
BaseRepresentation
bin1010001011100…
…0101010001000
32222100100120021
42202320222020
541412340100
64123110224
71025640022
oct242705210
988310507
1042699400
1122114767
1212372374
138b00423
145957012
153b36a1a
hex28b8a88

42699400 has 96 divisors (see below), whose sum is σ = 104993280. Its totient is φ = 16128000.

The previous prime is 42699383. The next prime is 42699401. The reversal of 42699400 is 499624.

It is not an unprimeable number, because it can be changed into a prime (42699401) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 440152 + ... + 440248.

It is an arithmetic number, because the mean of its divisors is an integer number (1093680).

Almost surely, 242699400 is an apocalyptic number.

42699400 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 42699400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (52496640).

42699400 is an abundant number, since it is smaller than the sum of its proper divisors (62293880).

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

42699400 is a wasteful number, since it uses less digits than its factorization.

42699400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 215 (or 206 counting only the distinct ones).

The product of its (nonzero) digits is 15552, while the sum is 34.

The square root of 42699400 is about 6534.4777909180. The cubic root of 42699400 is about 349.5215230540.

The spelling of 42699400 in words is "forty-two million, six hundred ninety-nine thousand, four hundred".

Divisors: 1 2 4 5 8 10 20 25 31 40 50 62 71 97 100 124 142 155 194 200 248 284 310 355 388 485 568 620 710 775 776 970 1240 1420 1550 1775 1940 2201 2425 2840 3007 3100 3550 3880 4402 4850 6014 6200 6887 7100 8804 9700 11005 12028 13774 14200 15035 17608 19400 22010 24056 27548 30070 34435 44020 55025 55096 60140 68870 75175 88040 110050 120280 137740 150350 172175 213497 220100 275480 300700 344350 426994 440200 601400 688700 853988 1067485 1377400 1707976 2134970 4269940 5337425 8539880 10674850 21349700 42699400