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42046480 = 245775083
BaseRepresentation
bin1010000001100…
…1010000010000
32221010011221001
42200121100100
541230441410
64101111344
71020250330
oct240312020
987104831
1042046480
1121809163
12120b8554
138932198
1458270c0
153a5833a
hex2819410

42046480 has 40 divisors (see below), whose sum is σ = 111724992. Its totient is φ = 14415744.

The previous prime is 42046471. The next prime is 42046489. The reversal of 42046480 is 8464024.

It is an interprime number because it is at equal distance from previous prime (42046471) and next prime (42046489).

It is a tau number, because it is divible by the number of its divisors (40).

It is a Harshad number since it is a multiple of its sum of digits (28).

It is not an unprimeable number, because it can be changed into a prime (42046489) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 36982 + ... + 38101.

Almost surely, 242046480 is an apocalyptic number.

42046480 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

42046480 is an abundant number, since it is smaller than the sum of its proper divisors (69678512).

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

42046480 is a wasteful number, since it uses less digits than its factorization.

42046480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 75103 (or 75097 counting only the distinct ones).

The product of its (nonzero) digits is 6144, while the sum is 28.

The square root of 42046480 is about 6484.3257166802. The cubic root of 42046480 is about 347.7308439770.

The spelling of 42046480 in words is "forty-two million, forty-six thousand, four hundred eighty".

Divisors: 1 2 4 5 7 8 10 14 16 20 28 35 40 56 70 80 112 140 280 560 75083 150166 300332 375415 525581 600664 750830 1051162 1201328 1501660 2102324 2627905 3003320 4204648 5255810 6006640 8409296 10511620 21023240 42046480