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2414104032 = 253103924203
BaseRepresentation
bin1000111111100100…
…0100110111100000
320020020120012011110
42033321010313200
514421002312112
61035314343320
7113552355114
oct21771046740
96206505143
102414104032
1110297760aa
1257458ab40
132c61b6532
1418c891744
15e1e1013c
hex8fe44de0

2414104032 has 48 divisors (see below), whose sum is σ = 6343384320. Its totient is φ = 803893632.

The previous prime is 2414104019. The next prime is 2414104039. The reversal of 2414104032 is 2304014142.

2414104032 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (48).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2414104039) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 87643 + ... + 111845.

It is an arithmetic number, because the mean of its divisors is an integer number (132153840).

Almost surely, 22414104032 is an apocalyptic number.

It is an amenable number.

2414104032 is an abundant number, since it is smaller than the sum of its proper divisors (3929280288).

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

2414104032 is a wasteful number, since it uses less digits than its factorization.

2414104032 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 25255 (or 25247 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 21.

The square root of 2414104032 is about 49133.5326635486. The cubic root of 2414104032 is about 1341.4834747776.

Adding to 2414104032 its reverse (2304014142), we get a palindrome (4718118174).

The spelling of 2414104032 in words is "two billion, four hundred fourteen million, one hundred four thousand, thirty-two".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 96 1039 2078 3117 4156 6234 8312 12468 16624 24203 24936 33248 48406 49872 72609 96812 99744 145218 193624 290436 387248 580872 774496 1161744 2323488 25146917 50293834 75440751 100587668 150881502 201175336 301763004 402350672 603526008 804701344 1207052016 2414104032