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42401040 = 24351116061
BaseRepresentation
bin1010000110111…
…1110100010000
32221210012021220
42201233310100
541323313130
64112445040
71023255123
oct241576420
987705256
1042401040
1121a30590
1212249780
138a27696
1458ba3ba
153ac8410
hex286fd10

42401040 has 80 divisors (see below), whose sum is σ = 143401536. Its totient is φ = 10278400.

The previous prime is 42401033. The next prime is 42401059. The reversal of 42401040 is 4010424.

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

It is a Harshad number since it is a multiple of its sum of digits (15).

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 5391 + ... + 10670.

Almost surely, 242401040 is an apocalyptic number.

42401040 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

42401040 is an abundant number, since it is smaller than the sum of its proper divisors (101000496).

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

42401040 is a wasteful number, since it uses less digits than its factorization.

42401040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 16088 (or 16082 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 15.

The square root of 42401040 is about 6511.6080963154. The cubic root of 42401040 is about 348.7055312579.

Adding to 42401040 its reverse (4010424), we get a palindrome (46411464).

The spelling of 42401040 in words is "forty-two million, four hundred one thousand, forty".

Divisors: 1 2 3 4 5 6 8 10 11 12 15 16 20 22 24 30 33 40 44 48 55 60 66 80 88 110 120 132 165 176 220 240 264 330 440 528 660 880 1320 2640 16061 32122 48183 64244 80305 96366 128488 160610 176671 192732 240915 256976 321220 353342 385464 481830 530013 642440 706684 770928 883355 963660 1060026 1284880 1413368 1766710 1927320 2120052 2650065 2826736 3533420 3854640 4240104 5300130 7066840 8480208 10600260 14133680 21200520 42401040