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2925135744 = 27352114621
BaseRepresentation
bin1010111001011010…
…0000011110000000
321112212011021212220
42232112200132000
521442313320434
61202131451040
7132326146356
oct25626403600
97485137786
102925135744
111271187863
12697756a80
1337803196b
141da6b97d6
15121c06d49
hexae5a0780

2925135744 has 64 divisors (see below), whose sum is σ = 7785337680. Its totient is φ = 973107200.

The previous prime is 2925135743. The next prime is 2925135767. The reversal of 2925135744 is 4475315292.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (64).

It is a junction number, because it is equal to n+sod(n) for n = 2925135696 and 2925135705.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2925135743) 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 7 ways as a sum of consecutive naturals, for example, 192754 + ... + 207374.

Almost surely, 22925135744 is an apocalyptic number.

2925135744 is a gapful number since it is divisible by the number (24) 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 2925135744, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3892668840).

2925135744 is an abundant number, since it is smaller than the sum of its proper divisors (4860201936).

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

2925135744 is a wasteful number, since it uses less digits than its factorization.

2925135744 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15159 (or 15147 counting only the distinct ones).

The product of its digits is 302400, while the sum is 42.

The square root of 2925135744 is about 54084.5240711241. The cubic root of 2925135744 is about 1430.1513758933.

The spelling of 2925135744 in words is "two billion, nine hundred twenty-five million, one hundred thirty-five thousand, seven hundred forty-four".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 64 96 128 192 384 521 1042 1563 2084 3126 4168 6252 8336 12504 14621 16672 25008 29242 33344 43863 50016 58484 66688 87726 100032 116968 175452 200064 233936 350904 467872 701808 935744 1403616 1871488 2807232 5614464 7617541 15235082 22852623 30470164 45705246 60940328 91410492 121880656 182820984 243761312 365641968 487522624 731283936 975045248 1462567872 2925135744