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41428500 = 2235371389
BaseRepresentation
bin1001111000001…
…0011000010100
32212221210012220
42132002120110
541101203000
64035542340
71012064541
oct236023024
985853186
1041428500
1121426933
1211a5a9b0
138776b09
145705bc8
1539851a0
hex2782614

41428500 has 96 divisors (see below), whose sum is σ = 122653440. Its totient is φ = 10864000.

The previous prime is 41428489. The next prime is 41428529. The reversal of 41428500 is 582414.

It is a super-2 number, since 2×414285002 = 3432641224500000, 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 31 ways as a sum of consecutive naturals, for example, 106306 + ... + 106694.

It is an arithmetic number, because the mean of its divisors is an integer number (1277640).

Almost surely, 241428500 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 41428500, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (61326720).

41428500 is an abundant number, since it is smaller than the sum of its proper divisors (81224940).

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

41428500 is a wasteful number, since it uses less digits than its factorization.

41428500 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 482 (or 470 counting only the distinct ones).

The product of its (nonzero) digits is 1280, while the sum is 24.

The square root of 41428500 is about 6436.4974947560. The cubic root of 41428500 is about 346.0188324364.

The spelling of 41428500 in words is "forty-one million, four hundred twenty-eight thousand, five hundred".

Divisors: 1 2 3 4 5 6 10 12 15 20 25 30 50 60 71 75 100 125 142 150 213 250 284 300 355 375 389 426 500 710 750 778 852 1065 1167 1420 1500 1556 1775 1945 2130 2334 3550 3890 4260 4668 5325 5835 7100 7780 8875 9725 10650 11670 17750 19450 21300 23340 26625 27619 29175 35500 38900 48625 53250 55238 58350 82857 97250 106500 110476 116700 138095 145875 165714 194500 276190 291750 331428 414285 552380 583500 690475 828570 1380950 1657140 2071425 2761900 3452375 4142850 6904750 8285700 10357125 13809500 20714250 41428500