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494132436 = 2232731431471
BaseRepresentation
bin11101011100111…
…101110011010100
31021102210112021100
4131130331303110
52002444214221
6121010550100
715150025230
oct3534756324
91242715240
10494132436
11233a1a016
12119598330
137b4ac475
14498a95c0
152d5a9926
hex1d73dcd4

494132436 has 144 divisors (see below), whose sum is σ = 1508835328. Its totient is φ = 133358400.

The previous prime is 494132423. The next prime is 494132473. The reversal of 494132436 is 634231494.

It is a happy number.

494132436 is a `hidden beast` number, since 4 + 94 + 132 + 436 = 666.

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (36).

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

It is a self number, because there is not a number n which added to its sum of digits gives 494132436.

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, 335181 + ... + 336651.

Almost surely, 2494132436 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 494132436, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (754417664).

494132436 is an abundant number, since it is smaller than the sum of its proper divisors (1014702892).

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

494132436 is a wasteful number, since it uses less digits than its factorization.

494132436 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1562 (or 1557 counting only the distinct ones).

The product of its digits is 62208, while the sum is 36.

The square root of 494132436 is about 22229.0898599110. The cubic root of 494132436 is about 790.5835756411.

The spelling of 494132436 in words is "four hundred ninety-four million, one hundred thirty-two thousand, four hundred thirty-six".

Divisors: 1 2 3 4 6 7 9 12 14 18 21 28 31 36 42 43 62 63 84 86 93 124 126 129 172 186 217 252 258 279 301 372 387 434 516 558 602 651 774 868 903 1116 1204 1302 1333 1471 1548 1806 1953 2604 2666 2709 2942 3612 3906 3999 4413 5332 5418 5884 7812 7998 8826 9331 10297 10836 11997 13239 15996 17652 18662 20594 23994 26478 27993 30891 37324 41188 45601 47988 52956 55986 61782 63253 83979 91202 92673 111972 123564 126506 136803 167958 182404 185346 189759 253012 273606 319207 335916 370692 379518 410409 442771 547212 569277 638414 759036 820818 885542 957621 1138554 1276828 1328313 1641636 1771084 1915242 1960843 2277108 2656626 2872863 3830484 3921686 3984939 5313252 5745726 5882529 7843372 7969878 11491452 11765058 13725901 15939756 17647587 23530116 27451802 35295174 41177703 54903604 70590348 82355406 123533109 164710812 247066218 494132436