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42455400 = 23352135443
BaseRepresentation
bin1010000111110…
…1000101101000
32221212221212020
42201331011220
541332033100
64113544440
71023602451
oct241750550
987787766
1042455400
1121a68409
1212275120
138a46350
1458d2128
153ad95a0
hex287d168

42455400 has 96 divisors (see below), whose sum is σ = 141761760. Its totient is φ = 10448640.

The previous prime is 42455389. The next prime is 42455423. The reversal of 42455400 is 455424.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 5079 + ... + 10521.

It is an arithmetic number, because the mean of its divisors is an integer number (1476685).

Almost surely, 242455400 is an apocalyptic number.

42455400 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 42455400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (70880880).

42455400 is an abundant number, since it is smaller than the sum of its proper divisors (99306360).

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

42455400 is a wasteful number, since it uses less digits than its factorization.

42455400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5475 (or 5466 counting only the distinct ones).

The product of its (nonzero) digits is 3200, while the sum is 24.

The square root of 42455400 is about 6515.7808434600. The cubic root of 42455400 is about 348.8544862347.

Adding to 42455400 its sum of digits (24), we get a palindrome (42455424).

The spelling of 42455400 in words is "forty-two million, four hundred fifty-five thousand, four hundred".

Divisors: 1 2 3 4 5 6 8 10 12 13 15 20 24 25 26 30 39 40 50 52 60 65 75 78 100 104 120 130 150 156 195 200 260 300 312 325 390 520 600 650 780 975 1300 1560 1950 2600 3900 5443 7800 10886 16329 21772 27215 32658 43544 54430 65316 70759 81645 108860 130632 136075 141518 163290 212277 217720 272150 283036 326580 353795 408225 424554 544300 566072 653160 707590 816450 849108 1061385 1088600 1415180 1632900 1698216 1768975 2122770 2830360 3265800 3537950 4245540 5306925 7075900 8491080 10613850 14151800 21227700 42455400