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42499080 = 23345131009
BaseRepresentation
bin1010001000011…
…1110000001000
32221222011210000
42202013300020
541334432310
64114523000
71024144011
oct242076010
987864700
1042499080
1121a98208
1212296460
138a601b0
145904008
153ae74c0
hex2887c08

42499080 has 160 divisors (see below), whose sum is σ = 153984600. Its totient is φ = 10450944.

The previous prime is 42499063. The next prime is 42499081. The reversal of 42499080 is 8099424.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 22410756 + 20088324 = 4734^2 + 4482^2 .

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 (42499081) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 41616 + ... + 42624.

Almost surely, 242499080 is an apocalyptic number.

42499080 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 42499080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (76992300).

42499080 is an abundant number, since it is smaller than the sum of its proper divisors (111485520).

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

42499080 is a wasteful number, since it uses less digits than its factorization.

42499080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1045 (or 1032 counting only the distinct ones).

The product of its (nonzero) digits is 20736, while the sum is 36.

The square root of 42499080 is about 6519.1318440418. The cubic root of 42499080 is about 348.9740842216.

The spelling of 42499080 in words is "forty-two million, four hundred ninety-nine thousand, eighty".

Divisors: 1 2 3 4 5 6 8 9 10 12 13 15 18 20 24 26 27 30 36 39 40 45 52 54 60 65 72 78 81 90 104 108 117 120 130 135 156 162 180 195 216 234 260 270 312 324 351 360 390 405 468 520 540 585 648 702 780 810 936 1009 1053 1080 1170 1404 1560 1620 1755 2018 2106 2340 2808 3027 3240 3510 4036 4212 4680 5045 5265 6054 7020 8072 8424 9081 10090 10530 12108 13117 14040 15135 18162 20180 21060 24216 26234 27243 30270 36324 39351 40360 42120 45405 52468 54486 60540 65585 72648 78702 81729 90810 104936 108972 118053 121080 131170 136215 157404 163458 181620 196755 217944 236106 262340 272430 314808 326916 354159 363240 393510 408645 472212 524680 544860 590265 653832 708318 787020 817290 944424 1062477 1089720 1180530 1416636 1574040 1634580 1770795 2124954 2361060 2833272 3269160 3541590 4249908 4722120 5312385 7083180 8499816 10624770 14166360 21249540 42499080