Search a number
-
+
3521457090 = 2325233154877
BaseRepresentation
bin1101000111100101…
…0010101111000010
3100002102020112222200
43101321102233002
524202443111330
61341233014030
7153156614514
oct32171225702
910072215880
103521457090
111547852918
128233b4316
13441740028
14255985bb4
15159249a60
hexd1e52bc2

3521457090 has 96 divisors (see below), whose sum is σ = 9862235136. Its totient is φ = 869235840.

The previous prime is 3521457089. The next prime is 3521457097. The reversal of 3521457090 is 907541253.

3521457090 is a `hidden beast` number, since 3 + 521 + 45 + 7 + 0 + 90 = 666.

3521457090 is digitally balanced in base 2 and base 4, because in such bases it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×35214570902 = 24801320073422536200, which contains 22 as substring.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (3521457097) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 36732 + ... + 91608.

It is an arithmetic number, because the mean of its divisors is an integer number (102731616).

Almost surely, 23521457090 is an apocalyptic number.

3521457090 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 3521457090, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4931117568).

3521457090 is an abundant number, since it is smaller than the sum of its proper divisors (6340778046).

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

3521457090 is a wasteful number, since it uses less digits than its factorization.

3521457090 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 54944 (or 54941 counting only the distinct ones).

The product of its (nonzero) digits is 37800, while the sum is 36.

The square root of 3521457090 is about 59341.8662497229. The cubic root of 3521457090 is about 1521.3908509555.

The spelling of 3521457090 in words is "three billion, five hundred twenty-one million, four hundred fifty-seven thousand, ninety".

Divisors: 1 2 3 5 6 9 10 15 18 23 30 31 45 46 62 69 90 93 115 138 155 186 207 230 279 310 345 414 465 558 690 713 930 1035 1395 1426 2070 2139 2790 3565 4278 6417 7130 10695 12834 21390 32085 54877 64170 109754 164631 274385 329262 493893 548770 823155 987786 1262171 1646310 1701187 2469465 2524342 3402374 3786513 4938930 5103561 6310855 7573026 8505935 10207122 11359539 12621710 15310683 17011870 18932565 22719078 25517805 30621366 37865130 39127301 51035610 56797695 76553415 78254602 113595390 117381903 153106830 195636505 234763806 352145709 391273010 586909515 704291418 1173819030 1760728545 3521457090