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42992880 = 24357157163
BaseRepresentation
bin1010010000000…
…0010011110000
32222220021010220
42210000103300
542001233010
64133253040
71031301450
oct244002360
988807126
1042992880
11222a5207
1212494180
138ba3b98
1459d1d60
153b93970
hex29004f0

42992880 has 160 divisors (see below), whose sum is σ = 154228224. Its totient is φ = 9704448.

The previous prime is 42992879. The next prime is 42992923. The reversal of 42992880 is 8829924.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 263679 + ... + 263841.

Almost surely, 242992880 is an apocalyptic number.

42992880 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 42992880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (77114112).

42992880 is an abundant number, since it is smaller than the sum of its proper divisors (111235344).

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

42992880 is a wasteful number, since it uses less digits than its factorization.

42992880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 343 (or 337 counting only the distinct ones).

The product of its (nonzero) digits is 82944, while the sum is 42.

The square root of 42992880 is about 6556.8956069164. The cubic root of 42992880 is about 350.3204683867.

The spelling of 42992880 in words is "forty-two million, nine hundred ninety-two thousand, eight hundred eighty".

Divisors: 1 2 3 4 5 6 7 8 10 12 14 15 16 20 21 24 28 30 35 40 42 48 56 60 70 80 84 105 112 120 140 157 163 168 210 240 280 314 326 336 420 471 489 560 628 652 785 815 840 942 978 1099 1141 1256 1304 1570 1630 1680 1884 1956 2198 2282 2355 2445 2512 2608 3140 3260 3297 3423 3768 3912 4396 4564 4710 4890 5495 5705 6280 6520 6594 6846 7536 7824 8792 9128 9420 9780 10990 11410 12560 13040 13188 13692 16485 17115 17584 18256 18840 19560 21980 22820 25591 26376 27384 32970 34230 37680 39120 43960 45640 51182 52752 54768 65940 68460 76773 87920 91280 102364 127955 131880 136920 153546 179137 204728 255910 263760 273840 307092 358274 383865 409456 511820 537411 614184 716548 767730 895685 1023640 1074822 1228368 1433096 1535460 1791370 2047280 2149644 2687055 2866192 3070920 3582740 4299288 5374110 6141840 7165480 8598576 10748220 14330960 21496440 42992880