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42999360 = 263547953
BaseRepresentation
bin1010010000000…
…1111001000000
32222220121000220
42210001321000
542001434420
64133343040
71031326365
oct244017100
988817026
1042999360
11222aa068
1212497a80
138ba6b11
1459d446c
153b95840
hex2901e40

42999360 has 112 divisors (see below), whose sum is σ = 139574016. Its totient is φ = 11210752.

The previous prime is 42999353. The next prime is 42999361. The reversal of 42999360 is 6399924.

It is not an unprimeable number, because it can be changed into a prime (42999361) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 44644 + ... + 45596.

Almost surely, 242999360 is an apocalyptic number.

42999360 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 42999360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (69787008).

42999360 is an abundant number, since it is smaller than the sum of its proper divisors (96574656).

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

42999360 is a wasteful number, since it uses less digits than its factorization.

42999360 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1020 (or 1010 counting only the distinct ones).

The product of its (nonzero) digits is 104976, while the sum is 42.

The square root of 42999360 is about 6557.3897245779. The cubic root of 42999360 is about 350.3380679101.

The spelling of 42999360 in words is "forty-two million, nine hundred ninety-nine thousand, three hundred sixty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 32 40 47 48 60 64 80 94 96 120 141 160 188 192 235 240 282 320 376 470 480 564 705 752 940 953 960 1128 1410 1504 1880 1906 2256 2820 2859 3008 3760 3812 4512 4765 5640 5718 7520 7624 9024 9530 11280 11436 14295 15040 15248 19060 22560 22872 28590 30496 38120 44791 45120 45744 57180 60992 76240 89582 91488 114360 134373 152480 179164 182976 223955 228720 268746 304960 358328 447910 457440 537492 671865 716656 895820 914880 1074984 1343730 1433312 1791640 2149968 2687460 2866624 3583280 4299936 5374920 7166560 8599872 10749840 14333120 21499680 42999360