Search a number
-
+
498047368 = 237213175749
BaseRepresentation
bin11101101011111…
…001100110001000
31021201011102112211
4131223321212020
52010000003433
6121230514504
715225222100
oct3553714610
91251142484
10498047368
112361533a5
1211a965a34
137c2503b0
144a208200
152dace8cd
hex1daf9988

498047368 has 96 divisors (see below), whose sum is σ = 1238895000. Its totient is φ = 185407488.

The previous prime is 498047357. The next prime is 498047369. The reversal of 498047368 is 863740894.

It can be written as a sum of positive squares in 4 ways, for example, as 257859364 + 240188004 = 16058^2 + 15498^2 .

It is a Harshad number since it is a multiple of its sum of digits (49).

It is not an unprimeable number, because it can be changed into a prime (498047369) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 83758 + ... + 89506.

Almost surely, 2498047368 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 498047368, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (619447500).

498047368 is an abundant number, since it is smaller than the sum of its proper divisors (740847632).

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

498047368 is a wasteful number, since it uses less digits than its factorization.

498047368 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5799 (or 5788 counting only the distinct ones).

The product of its (nonzero) digits is 1161216, while the sum is 49.

The square root of 498047368 is about 22316.9748846030. The cubic root of 498047368 is about 792.6659747175.

The spelling of 498047368 in words is "four hundred ninety-eight million, forty-seven thousand, three hundred sixty-eight".

Divisors: 1 2 4 7 8 13 14 17 26 28 34 49 52 56 68 91 98 104 119 136 182 196 221 238 364 392 442 476 637 728 833 884 952 1274 1547 1666 1768 2548 3094 3332 5096 5749 6188 6664 10829 11498 12376 21658 22996 40243 43316 45992 74737 80486 86632 97733 149474 160972 195466 281701 298948 321944 390932 523159 563402 597896 684131 781864 1046318 1126804 1270529 1368262 2092636 2253608 2541058 2736524 3662113 4185272 4788917 5082116 5473048 7324226 8893703 9577834 10164232 14648452 17787406 19155668 29296904 35574812 38311336 62255921 71149624 124511842 249023684 498047368