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2458053416 = 2371310213307
BaseRepresentation
bin1001001010000010…
…1110101100101000
320100022021001101102
42102200232230220
520013230202131
61043524340532
7114625052330
oct22240565450
96308231342
102458053416
111051563a05
12587244748
133023338a0
141946520c0
15e5be21cb
hex9282eb28

2458053416 has 64 divisors (see below), whose sum is σ = 5679703680. Its totient is φ = 971170560.

The previous prime is 2458053413. The next prime is 2458053439. The reversal of 2458053416 is 6143508542.

It is a self number, because there is not a number n which added to its sum of digits gives 2458053416.

It is not an unprimeable number, because it can be changed into a prime (2458053413) 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 15 ways as a sum of consecutive naturals, for example, 741635 + ... + 744941.

It is an arithmetic number, because the mean of its divisors is an integer number (88745370).

Almost surely, 22458053416 is an apocalyptic number.

2458053416 is a gapful number since it is divisible by the number (26) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2458053416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2839851840).

2458053416 is an abundant number, since it is smaller than the sum of its proper divisors (3221650264).

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

2458053416 is a wasteful number, since it uses less digits than its factorization.

2458053416 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4354 (or 4350 counting only the distinct ones).

The product of its (nonzero) digits is 115200, while the sum is 38.

The square root of 2458053416 is about 49578.7597263183. The cubic root of 2458053416 is about 1349.5752511037.

The spelling of 2458053416 in words is "two billion, four hundred fifty-eight million, fifty-three thousand, four hundred sixteen".

Divisors: 1 2 4 7 8 13 14 26 28 52 56 91 104 182 364 728 1021 2042 3307 4084 6614 7147 8168 13228 13273 14294 23149 26456 26546 28588 42991 46298 53092 57176 85982 92596 92911 106184 171964 185192 185822 300937 343928 371644 601874 743288 1203748 2407496 3376447 6752894 13505788 23635129 27011576 43893811 47270258 87787622 94540516 175575244 189081032 307256677 351150488 614513354 1229026708 2458053416