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102047456 = 2571034423
BaseRepresentation
bin1100001010100…
…01111011100000
321010000112210102
412011101323200
5202111004311
614043121532
72346250310
oct605217340
9233015712
10102047456
115266a845
122a2132a8
13181ac714
14d7a5440
158e5b43b
hex6151ee0

102047456 has 48 divisors (see below), whose sum is σ = 231888384. Its totient is φ = 43300224.

The previous prime is 102047431. The next prime is 102047459. The reversal of 102047456 is 654740201.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (102047459) 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, 20861 + ... + 25283.

It is an arithmetic number, because the mean of its divisors is an integer number (4831008).

Almost surely, 2102047456 is an apocalyptic number.

102047456 is a gapful number since it is divisible by the number (16) 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 102047456, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (115944192).

102047456 is an abundant number, since it is smaller than the sum of its proper divisors (129840928).

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

102047456 is a wasteful number, since it uses less digits than its factorization.

102047456 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4543 (or 4535 counting only the distinct ones).

The product of its (nonzero) digits is 6720, while the sum is 29.

The square root of 102047456 is about 10101.8540872456. The cubic root of 102047456 is about 467.3053223957.

Adding to 102047456 its reverse (654740201), we get a palindrome (756787657).

The spelling of 102047456 in words is "one hundred two million, forty-seven thousand, four hundred fifty-six".

Divisors: 1 2 4 7 8 14 16 28 32 56 103 112 206 224 412 721 824 1442 1648 2884 3296 4423 5768 8846 11536 17692 23072 30961 35384 61922 70768 123844 141536 247688 455569 495376 911138 990752 1822276 3188983 3644552 6377966 7289104 12755932 14578208 25511864 51023728 102047456