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42488040 = 2335750581
BaseRepresentation
bin1010001000010…
…1000011101000
32221221121122010
42202011003220
541334104130
64114355520
71024066560
oct242050350
987847563
1042488040
1121a8a991
121228bba0
138a5816a
1458ddda0
153ae40b0
hex28850e8

42488040 has 64 divisors (see below), whose sum is σ = 145676160. Its totient is φ = 9711360.

The previous prime is 42488029. The next prime is 42488041. The reversal of 42488040 is 4088424.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a junction number, because it is equal to n+sod(n) for n = 42487989 and 42488007.

It is not an unprimeable number, because it can be changed into a prime (42488041) 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, 24451 + ... + 26130.

It is an arithmetic number, because the mean of its divisors is an integer number (2276190).

Almost surely, 242488040 is an apocalyptic number.

42488040 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

42488040 is an abundant number, since it is smaller than the sum of its proper divisors (103188120).

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

42488040 is a wasteful number, since it uses less digits than its factorization.

42488040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 50602 (or 50598 counting only the distinct ones).

The product of its (nonzero) digits is 8192, while the sum is 30.

The square root of 42488040 is about 6518.2850505328. The cubic root of 42488040 is about 348.9438639004.

The spelling of 42488040 in words is "forty-two million, four hundred eighty-eight thousand, forty".

Divisors: 1 2 3 4 5 6 7 8 10 12 14 15 20 21 24 28 30 35 40 42 56 60 70 84 105 120 140 168 210 280 420 840 50581 101162 151743 202324 252905 303486 354067 404648 505810 606972 708134 758715 1011620 1062201 1213944 1416268 1517430 1770335 2023240 2124402 2832536 3034860 3540670 4248804 5311005 6069720 7081340 8497608 10622010 14162680 21244020 42488040