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42849792 = 293217547
BaseRepresentation
bin1010001101110…
…1011000000000
32222121222212100
42203131120000
541432143132
64130230400
71030134336
oct243353000
988558770
1042849792
1122207757
1212425400
138b53a0b
145995b56
153b6637c
hex28dd600

42849792 has 120 divisors (see below), whose sum is σ = 131181336. Its totient is φ = 13418496.

The previous prime is 42849787. The next prime is 42849803. The reversal of 42849792 is 29794824.

It is a super-2 number, since 2×428497922 = 3672209348886528, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 78063 + ... + 78609.

Almost surely, 242849792 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 42849792, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (65590668).

42849792 is an abundant number, since it is smaller than the sum of its proper divisors (88331544).

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

42849792 is a wasteful number, since it uses less digits than its factorization.

42849792 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 588 (or 569 counting only the distinct ones).

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

The square root of 42849792 is about 6545.9752520155. The cubic root of 42849792 is about 349.9313933554.

The spelling of 42849792 in words is "forty-two million, eight hundred forty-nine thousand, seven hundred ninety-two".

Divisors: 1 2 3 4 6 8 9 12 16 17 18 24 32 34 36 48 51 64 68 72 96 102 128 136 144 153 192 204 256 272 288 306 384 408 512 544 547 576 612 768 816 1088 1094 1152 1224 1536 1632 1641 2176 2188 2304 2448 3264 3282 4352 4376 4608 4896 4923 6528 6564 8704 8752 9299 9792 9846 13056 13128 17504 18598 19584 19692 26112 26256 27897 35008 37196 39168 39384 52512 55794 70016 74392 78336 78768 83691 105024 111588 140032 148784 157536 167382 210048 223176 280064 297568 315072 334764 420096 446352 595136 630144 669528 840192 892704 1190272 1260288 1339056 1785408 2380544 2520576 2678112 3570816 4761088 5356224 7141632 10712448 14283264 21424896 42849792