Search a number
-
+
42898896 = 243479419
BaseRepresentation
bin1010001110100…
…1010111010000
32222201111020000
42203221113100
541440231041
64131250000
71030430445
oct243512720
988644200
1042898896
1122240637
1212449900
138b70181
1459a99cc
153b75bb6
hex28e95d0

42898896 has 100 divisors (see below), whose sum is σ = 126033600. Its totient is φ = 14084928.

The previous prime is 42898861. The next prime is 42898937. The reversal of 42898896 is 69889824.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a nude number because it is divisible by every one of its digits.

It is a nialpdrome in base 9.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 102175 + ... + 102593.

It is an arithmetic number, because the mean of its divisors is an integer number (1260336).

Almost surely, 242898896 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 42898896, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (63016800).

42898896 is an abundant number, since it is smaller than the sum of its proper divisors (83134704).

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

42898896 is a wasteful number, since it uses less digits than its factorization.

42898896 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 518 (or 503 counting only the distinct ones).

The product of its digits is 1990656, while the sum is 54.

The square root of 42898896 is about 6549.7248797182. The cubic root of 42898896 is about 350.0650110530.

The spelling of 42898896 in words is "forty-two million, eight hundred ninety-eight thousand, eight hundred ninety-six".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 36 48 54 72 79 81 108 144 158 162 216 237 316 324 419 432 474 632 648 711 838 948 1257 1264 1296 1422 1676 1896 2133 2514 2844 3352 3771 3792 4266 5028 5688 6399 6704 7542 8532 10056 11313 11376 12798 15084 17064 20112 22626 25596 30168 33101 33939 34128 45252 51192 60336 66202 67878 90504 99303 102384 132404 135756 181008 198606 264808 271512 297909 397212 529616 543024 595818 794424 893727 1191636 1588848 1787454 2383272 2681181 3574908 4766544 5362362 7149816 10724724 14299632 21449448 42898896