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42934100 = 225211231697
BaseRepresentation
bin1010001111000…
…1111101010100
32222210021111212
42203301331110
541442342400
64132120552
71030635206
oct243617524
988707455
1042934100
1122265030
1212466158
138b831c1
1459b8776
153b81335
hex28f1f54

42934100 has 72 divisors (see below), whose sum is σ = 106118208. Its totient is φ = 14924800.

The previous prime is 42934079. The next prime is 42934103. The reversal of 42934100 is 143924.

It is a Harshad number since it is a multiple of its sum of digits (23).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (42934103) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 24452 + ... + 26148.

It is an arithmetic number, because the mean of its divisors is an integer number (1473864).

Almost surely, 242934100 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 42934100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (53059104).

42934100 is an abundant number, since it is smaller than the sum of its proper divisors (63184108).

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

42934100 is a wasteful number, since it uses less digits than its factorization.

42934100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1745 (or 1738 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 23.

The square root of 42934100 is about 6552.4117697227. The cubic root of 42934100 is about 350.1607424919.

It can be divided in two parts, 42934 and 100, that added together give a palindrome (43034).

The spelling of 42934100 in words is "forty-two million, nine hundred thirty-four thousand, one hundred".

Divisors: 1 2 4 5 10 11 20 22 23 25 44 46 50 55 92 100 110 115 220 230 253 275 460 506 550 575 1012 1100 1150 1265 1697 2300 2530 3394 5060 6325 6788 8485 12650 16970 18667 25300 33940 37334 39031 42425 74668 78062 84850 93335 156124 169700 186670 195155 373340 390310 429341 466675 780620 858682 933350 975775 1717364 1866700 1951550 2146705 3903100 4293410 8586820 10733525 21467050 42934100