Search a number
-
+
3491089542 = 2322953257491
BaseRepresentation
bin1101000000010101…
…1100110010000110
3100000022002201112200
43100011130302012
524122204331132
61334230055330
7152340525423
oct32005346206
910008081480
103491089542
1115316a1276
128151aa546
13438369975
1425191cd4a
1515674bd7c
hexd015cc86

3491089542 has 96 divisors (see below), whose sum is σ = 8019816480. Its totient is φ = 1095843840.

The previous prime is 3491089541. The next prime is 3491089577. The reversal of 3491089542 is 2459801943.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3491089541) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 7109917 + ... + 7110407.

It is an arithmetic number, because the mean of its divisors is an integer number (83539755).

Almost surely, 23491089542 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3491089542, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4009908240).

3491089542 is an abundant number, since it is smaller than the sum of its proper divisors (4528726938).

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

3491089542 is a wasteful number, since it uses less digits than its factorization.

3491089542 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 838 (or 835 counting only the distinct ones).

The product of its (nonzero) digits is 311040, while the sum is 45.

The square root of 3491089542 is about 59085.4427249217. The cubic root of 3491089542 is about 1517.0049434453.

The spelling of 3491089542 in words is "three billion, four hundred ninety-one million, eighty-nine thousand, five hundred forty-two".

Divisors: 1 2 3 6 9 18 29 53 58 87 106 159 174 257 261 318 477 491 514 522 771 954 982 1473 1537 1542 2313 2946 3074 4419 4611 4626 7453 8838 9222 13621 13833 14239 14906 22359 26023 27242 27666 28478 40863 42717 44718 52046 67077 78069 81726 85434 122589 126187 128151 134154 156138 234207 245178 252374 256302 378561 395009 468414 754667 757122 790018 1135683 1185027 1509334 2264001 2271366 2370054 3555081 3659423 4528002 6687911 6792003 7110162 7318846 10978269 13375822 13584006 20063733 21956538 32934807 40127466 60191199 65869614 120382398 193949419 387898838 581848257 1163696514 1745544771 3491089542