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42749440 = 29516699
BaseRepresentation
bin1010001100010…
…0111000000000
32222102220012121
42203010320000
541420440230
64124134024
71026235636
oct243047000
988386177
1042749440
1122149318
1212397314
138b1a136
14596b356
153b4677a
hex28c4e00

42749440 has 40 divisors (see below), whose sum is σ = 102504600. Its totient is φ = 17098752.

The previous prime is 42749423. The next prime is 42749477. The reversal of 42749440 is 4494724.

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

It is a junction number, because it is equal to n+sod(n) for n = 42749396 and 42749405.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 5790 + ... + 10909.

It is an arithmetic number, because the mean of its divisors is an integer number (2562615).

Almost surely, 242749440 is an apocalyptic number.

42749440 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

42749440 is an abundant number, since it is smaller than the sum of its proper divisors (59755160).

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

42749440 is an equidigital number, since it uses as much as digits as its factorization.

42749440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 16722 (or 16706 counting only the distinct ones).

The product of its (nonzero) digits is 32256, while the sum is 34.

The square root of 42749440 is about 6538.3055909004. The cubic root of 42749440 is about 349.6580060739.

The spelling of 42749440 in words is "forty-two million, seven hundred forty-nine thousand, four hundred forty".

Divisors: 1 2 4 5 8 10 16 20 32 40 64 80 128 160 256 320 512 640 1280 2560 16699 33398 66796 83495 133592 166990 267184 333980 534368 667960 1068736 1335920 2137472 2671840 4274944 5343680 8549888 10687360 21374720 42749440