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42927040 = 2651317607
BaseRepresentation
bin1010001111000…
…0001111000000
32222202220211101
42203300033000
541442131130
64132024144
71030605502
oct243601700
988686741
1042927040
112225a7a2
1212462054
138b7cc20
1459b5d72
153b7e1ca
hex28f03c0

42927040 has 112 divisors (see below), whose sum is σ = 116750592. Its totient is φ = 14893056.

The previous prime is 42927037. The next prime is 42927109. The reversal of 42927040 is 4072924.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 70417 + ... + 71023.

It is an arithmetic number, because the mean of its divisors is an integer number (1042416).

Almost surely, 242927040 is an apocalyptic number.

42927040 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 42927040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (58375296).

42927040 is an abundant number, since it is smaller than the sum of its proper divisors (73823552).

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

42927040 is a wasteful number, since it uses less digits than its factorization.

42927040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 654 (or 644 counting only the distinct ones).

The product of its (nonzero) digits is 4032, while the sum is 28.

The square root of 42927040 is about 6551.8730146425. The cubic root of 42927040 is about 350.1415481891.

Adding to 42927040 its reverse (4072924), we get a palindrome (46999964).

The spelling of 42927040 in words is "forty-two million, nine hundred twenty-seven thousand, forty".

Divisors: 1 2 4 5 8 10 13 16 17 20 26 32 34 40 52 64 65 68 80 85 104 130 136 160 170 208 221 260 272 320 340 416 442 520 544 607 680 832 884 1040 1088 1105 1214 1360 1768 2080 2210 2428 2720 3035 3536 4160 4420 4856 5440 6070 7072 7891 8840 9712 10319 12140 14144 15782 17680 19424 20638 24280 31564 35360 38848 39455 41276 48560 51595 63128 70720 78910 82552 97120 103190 126256 134147 157820 165104 194240 206380 252512 268294 315640 330208 412760 505024 536588 631280 660416 670735 825520 1073176 1262560 1341470 1651040 2146352 2525120 2682940 3302080 4292704 5365880 8585408 10731760 21463520 42927040