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42499920 = 2435612903
BaseRepresentation
bin1010001000011…
…1111101010000
32221222012221010
42202013331100
541334444140
64114530520
71024146321
oct242077520
987865833
1042499920
1121a98901
1212296a40
138a606a8
145904448
153ae7880
hex2887f50

42499920 has 80 divisors (see below), whose sum is σ = 133955712. Its totient is φ = 11143680.

The previous prime is 42499907. The next prime is 42499927. The reversal of 42499920 is 2999424.

42499920 is nontrivially palindromic in base 13.

It is a tau number, because it is divible by the number of its divisors (80).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (42499927) 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, 13189 + ... + 16091.

Almost surely, 242499920 is an apocalyptic number.

42499920 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 42499920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (66977856).

42499920 is an abundant number, since it is smaller than the sum of its proper divisors (91455792).

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

42499920 is a wasteful number, since it uses less digits than its factorization.

42499920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2980 (or 2974 counting only the distinct ones).

The product of its (nonzero) digits is 46656, while the sum is 39.

The square root of 42499920 is about 6519.1962694799. The cubic root of 42499920 is about 348.9763833796.

The spelling of 42499920 in words is "forty-two million, four hundred ninety-nine thousand, nine hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 40 48 60 61 80 120 122 183 240 244 305 366 488 610 732 915 976 1220 1464 1830 2440 2903 2928 3660 4880 5806 7320 8709 11612 14515 14640 17418 23224 29030 34836 43545 46448 58060 69672 87090 116120 139344 174180 177083 232240 348360 354166 531249 696720 708332 885415 1062498 1416664 1770830 2124996 2656245 2833328 3541660 4249992 5312490 7083320 8499984 10624980 14166640 21249960 42499920