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42297984 = 273312239
BaseRepresentation
bin1010000101011…
…0101010000000
32221120221221000
42201112222000
541312013414
64110332000
71022345511
oct241265200
987527830
1042297984
1121970113
12121ba000
1389bc7c1
145890a08
153aa7b09
hex2856a80

42297984 has 64 divisors (see below), whose sum is σ = 124848000. Its totient is φ = 14098176.

The previous prime is 42297977. The next prime is 42297991. The reversal of 42297984 is 48979224.

It is an interprime number because it is at equal distance from previous prime (42297977) and next prime (42297991).

It is a tau number, because it is divible by the number of its divisors (64).

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 2664 + ... + 9575.

It is an arithmetic number, because the mean of its divisors is an integer number (1950750).

Almost surely, 242297984 is an apocalyptic number.

It is an amenable number.

42297984 is an abundant number, since it is smaller than the sum of its proper divisors (82550016).

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

42297984 is a wasteful number, since it uses less digits than its factorization.

42297984 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12262 (or 12244 counting only the distinct ones).

The product of its digits is 290304, while the sum is 45.

The square root of 42297984 is about 6503.6900295140. The cubic root of 42297984 is about 348.4227917230.

The spelling of 42297984 in words is "forty-two million, two hundred ninety-seven thousand, nine hundred eighty-four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 64 72 96 108 128 144 192 216 288 384 432 576 864 1152 1728 3456 12239 24478 36717 48956 73434 97912 110151 146868 195824 220302 293736 330453 391648 440604 587472 660906 783296 881208 1174944 1321812 1566592 1762416 2349888 2643624 3524832 4699776 5287248 7049664 10574496 14099328 21148992 42297984