Search a number
-
+
498675072 = 2737185519
BaseRepresentation
bin11101101110010…
…010110110000000
31021202100022121010
4131232102312000
52010130100242
6121252200520
715233445120
oct3556226600
91252308533
10498675072
11236541a65
1211b009140
137c41000c
144a32cc80
152dba589c
hex1db92d80

498675072 has 64 divisors (see below), whose sum is σ = 1513843200. Its totient is φ = 142477824.

The previous prime is 498675071. The next prime is 498675113. The reversal of 498675072 is 270576894.

It is a tau number, because it is divible by the number of its divisors (64).

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (498675071) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 90072 + ... + 95447.

It is an arithmetic number, because the mean of its divisors is an integer number (23653800).

Almost surely, 2498675072 is an apocalyptic number.

498675072 is a gapful number since it is divisible by the number (42) formed by its first and last digit.

It is an amenable number.

498675072 is an abundant number, since it is smaller than the sum of its proper divisors (1015168128).

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

498675072 is a wasteful number, since it uses less digits than its factorization.

498675072 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 185543 (or 185531 counting only the distinct ones).

The product of its (nonzero) digits is 846720, while the sum is 48.

The square root of 498675072 is about 22331.0338318673. The cubic root of 498675072 is about 792.9988417976.

The spelling of 498675072 in words is "four hundred ninety-eight million, six hundred seventy-five thousand, seventy-two".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 32 42 48 56 64 84 96 112 128 168 192 224 336 384 448 672 896 1344 2688 185519 371038 556557 742076 1113114 1298633 1484152 2226228 2597266 2968304 3895899 4452456 5194532 5936608 7791798 8904912 10389064 11873216 15583596 17809824 20778128 23746432 31167192 35619648 41556256 62334384 71239296 83112512 124668768 166225024 249337536 498675072