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4115909252 = 22721310315683
BaseRepresentation
bin1111010101010011…
…1100101010000100
3101121211210212001102
43311110330222010
531412133044002
61520230115232
7203665436300
oct36524745204
911554725042
104115909252
1118223615a4
1296a4abb18
13507945680
142b08c6d00
1519151da02
hexf553ca84

4115909252 has 72 divisors (see below), whose sum is σ = 9111525696. Its totient is φ = 1612360512.

The previous prime is 4115909209. The next prime is 4115909261. The reversal of 4115909252 is 2529095114.

4115909252 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 254603 + ... + 270285.

It is an arithmetic number, because the mean of its divisors is an integer number (126548968).

Almost surely, 24115909252 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 4115909252, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4555762848).

4115909252 is an abundant number, since it is smaller than the sum of its proper divisors (4995616444).

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

4115909252 is a wasteful number, since it uses less digits than its factorization.

4115909252 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 15817 (or 15808 counting only the distinct ones).

The product of its (nonzero) digits is 32400, while the sum is 38.

The square root of 4115909252 is about 64155.3524813012. The cubic root of 4115909252 is about 1602.5881616505.

The spelling of 4115909252 in words is "four billion, one hundred fifteen million, nine hundred nine thousand, two hundred fifty-two".

Divisors: 1 2 4 7 13 14 26 28 49 52 91 98 103 182 196 206 364 412 637 721 1274 1339 1442 2548 2678 2884 5047 5356 9373 10094 15683 18746 20188 31366 37492 62732 65611 109781 131222 203879 219562 262444 407758 439124 768467 815516 1427153 1536934 1615349 2854306 3073868 3230698 5708612 6461396 9990071 11307443 19980142 20999537 22614886 39960284 41999074 45229772 79152101 83998148 146996759 158304202 293993518 316608404 587987036 1028977313 2057954626 4115909252