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5972096 = 27133797
BaseRepresentation
bin10110110010000010000000
3102020102011202
4112302002000
53012101341
6332000332
7101522234
oct26620200
912212152
105972096
113409a19
1220000a8
1313113b0
14b165c4
157ce79b
hex5b2080

5972096 has 64 divisors (see below), whose sum is σ = 13294680. Its totient is φ = 2654208.

The previous prime is 5972077. The next prime is 5972107. The reversal of 5972096 is 6902795.

It can be written as a sum of positive squares in 4 ways, for example, as 5125696 + 846400 = 2264^2 + 920^2 .

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 61520 + ... + 61616.

Almost surely, 25972096 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 5972096, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6647340).

5972096 is an abundant number, since it is smaller than the sum of its proper divisors (7322584).

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

5972096 is a wasteful number, since it uses less digits than its factorization.

5972096 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 161 (or 149 counting only the distinct ones).

The product of its (nonzero) digits is 34020, while the sum is 38.

The square root of 5972096 is about 2443.7872247804. The cubic root of 5972096 is about 181.4299273907.

The spelling of 5972096 in words is "five million, nine hundred seventy-two thousand, ninety-six".

Divisors: 1 2 4 8 13 16 26 32 37 52 64 74 97 104 128 148 194 208 296 388 416 481 592 776 832 962 1184 1261 1552 1664 1924 2368 2522 3104 3589 3848 4736 5044 6208 7178 7696 10088 12416 14356 15392 20176 28712 30784 40352 46657 57424 61568 80704 93314 114848 161408 186628 229696 373256 459392 746512 1493024 2986048 5972096