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42793984 = 21023279
BaseRepresentation
bin1010001100111…
…1110000000000
32222112011022101
42203033300000
541423401414
64125120144
71026512542
oct243176000
988464271
1042793984
1122179832
12123b9054
138b344ac
14597d692
153b54a74
hex28cfc00

42793984 has 66 divisors (see below), whose sum is σ = 90559280. Its totient is φ = 20207616.

The previous prime is 42793973. The next prime is 42793991. The reversal of 42793984 is 48939724.

It is a happy number.

It is a Smith number, since the sum of its digits (46) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (46).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 541657 + ... + 541735.

Almost surely, 242793984 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 42793984, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (45279640).

42793984 is an abundant number, since it is smaller than the sum of its proper divisors (47765296).

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

42793984 is an equidigital number, since it uses as much as digits as its factorization.

42793984 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 145 (or 104 counting only the distinct ones).

The product of its digits is 435456, while the sum is 46.

The square root of 42793984 is about 6541.7110911443. The cubic root of 42793984 is about 349.7794092992.

The spelling of 42793984 in words is "forty-two million, seven hundred ninety-three thousand, nine hundred eighty-four".

Divisors: 1 2 4 8 16 23 32 46 64 79 92 128 158 184 256 316 368 512 529 632 736 1024 1058 1264 1472 1817 2116 2528 2944 3634 4232 5056 5888 7268 8464 10112 11776 14536 16928 20224 23552 29072 33856 40448 41791 58144 67712 80896 83582 116288 135424 167164 232576 270848 334328 465152 541696 668656 930304 1337312 1860608 2674624 5349248 10698496 21396992 42793984