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42795900 = 22325276793
BaseRepresentation
bin1010001101000…
…0001101111100
32222112020221100
42203100031330
541423432100
64125133100
71026521250
oct243201574
988466840
1042795900
1122180214
12123ba190
138b35324
145980260
153b55400
hex28d037c

42795900 has 108 divisors (see below), whose sum is σ = 153326992. Its totient is φ = 9780480.

The previous prime is 42795899. The next prime is 42795911. The reversal of 42795900 is 959724.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 2904 + ... + 9696.

Almost surely, 242795900 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 42795900, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (76663496).

42795900 is an abundant number, since it is smaller than the sum of its proper divisors (110531092).

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

42795900 is a wasteful number, since it uses less digits than its factorization.

42795900 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6820 (or 6810 counting only the distinct ones).

The product of its (nonzero) digits is 22680, while the sum is 36.

The square root of 42795900 is about 6541.8575343705. The cubic root of 42795900 is about 349.7846294048.

The spelling of 42795900 in words is "forty-two million, seven hundred ninety-five thousand, nine hundred".

Divisors: 1 2 3 4 5 6 7 9 10 12 14 15 18 20 21 25 28 30 35 36 42 45 50 60 63 70 75 84 90 100 105 126 140 150 175 180 210 225 252 300 315 350 420 450 525 630 700 900 1050 1260 1575 2100 3150 6300 6793 13586 20379 27172 33965 40758 47551 61137 67930 81516 95102 101895 122274 135860 142653 169825 190204 203790 237755 244548 285306 305685 339650 407580 427959 475510 509475 570612 611370 679300 713265 855918 951020 1018950 1188775 1222740 1426530 1528425 1711836 2037900 2139795 2377550 2853060 3056850 3566325 4279590 4755100 6113700 7132650 8559180 10698975 14265300 21397950 42795900