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42254000 = 245337571
BaseRepresentation
bin1010000100101…
…1111010110000
32221111201120222
42201023322300
541304112000
64105352212
71022103335
oct241137260
987451528
1042254000
1121940068
1212198668
1389a5789
14587c98c
153a99a85
hex284beb0

42254000 has 80 divisors (see below), whose sum is σ = 105115296. Its totient is φ = 16416000.

The previous prime is 42253973. The next prime is 42254041. The reversal of 42254000 is 45224.

It is a tau number, because it is divible by the number of its divisors (80).

It is a self number, because there is not a number n which added to its sum of digits gives 42254000.

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, 73715 + ... + 74285.

Almost surely, 242254000 is an apocalyptic number.

42254000 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 42254000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (52557648).

42254000 is an abundant number, since it is smaller than the sum of its proper divisors (62861296).

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

42254000 is a wasteful number, since it uses less digits than its factorization.

42254000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 631 (or 615 counting only the distinct ones).

The product of its (nonzero) digits is 320, while the sum is 17.

The square root of 42254000 is about 6500.3076850254. The cubic root of 42254000 is about 348.3019794789.

Adding to 42254000 its reverse (45224), we get a palindrome (42299224).

The spelling of 42254000 in words is "forty-two million, two hundred fifty-four thousand".

Divisors: 1 2 4 5 8 10 16 20 25 37 40 50 74 80 100 125 148 185 200 250 296 370 400 500 571 592 740 925 1000 1142 1480 1850 2000 2284 2855 2960 3700 4568 4625 5710 7400 9136 9250 11420 14275 14800 18500 21127 22840 28550 37000 42254 45680 57100 71375 74000 84508 105635 114200 142750 169016 211270 228400 285500 338032 422540 528175 571000 845080 1056350 1142000 1690160 2112700 2640875 4225400 5281750 8450800 10563500 21127000 42254000