Search a number
-
+
498074094 = 232719375623
BaseRepresentation
bin11101101100000…
…000000111101110
31021201012210012200
4131230000013232
52010001332334
6121231242330
715225363030
oct3554000756
91251183180
10498074094
11236171491
1211a9793a6
137c25c5cb
144a213c50
152dad7799
hex1db001ee

498074094 has 96 divisors (see below), whose sum is σ = 1333562880. Its totient is φ = 131150016.

The previous prime is 498074077. The next prime is 498074141. The reversal of 498074094 is 490470894.

498074094 is a `hidden beast` number, since 498 + 0 + 74 + 0 + 94 = 666.

It is a super-2 number, since 2×4980740942 = 496155606227841672, which contains 22 as substring.

It is a Curzon number.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 85767 + ... + 91389.

It is an arithmetic number, because the mean of its divisors is an integer number (13891280).

Almost surely, 2498074094 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 498074094, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (666781440).

498074094 is an abundant number, since it is smaller than the sum of its proper divisors (835488786).

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

498074094 is a wasteful number, since it uses less digits than its factorization.

498074094 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5694 (or 5691 counting only the distinct ones).

The product of its (nonzero) digits is 290304, while the sum is 45.

The square root of 498074094 is about 22317.5736584424. The cubic root of 498074094 is about 792.6801530288.

The spelling of 498074094 in words is "four hundred ninety-eight million, seventy-four thousand, ninety-four".

Divisors: 1 2 3 6 7 9 14 18 19 21 37 38 42 57 63 74 111 114 126 133 171 222 259 266 333 342 399 518 666 703 777 798 1197 1406 1554 2109 2331 2394 4218 4662 4921 5623 6327 9842 11246 12654 14763 16869 29526 33738 39361 44289 50607 78722 88578 101214 106837 118083 208051 213674 236166 320511 354249 416102 624153 641022 708498 747859 961533 1248306 1456357 1495718 1872459 1923066 2243577 2912714 3744918 3952969 4369071 4487154 6730731 7905938 8738142 11858907 13107213 13461462 23717814 26214426 27670783 35576721 55341566 71153442 83012349 166024698 249037047 498074094