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2032673952 = 253171916521
BaseRepresentation
bin111100100101000…
…0010010010100000
312020122211112110110
41321022002102200
513130331031302
6533411131320
7101241305061
oct17112022240
95218745413
102032673952
11953434031
124888a3b40
1326517746a
14153d62568
15bd6b8b6c
hex792824a0

2032673952 has 96 divisors (see below), whose sum is σ = 5680088064. Its totient is φ = 634265600.

The previous prime is 2032673927. The next prime is 2032673957. The reversal of 2032673952 is 2593762302.

It is a tau number, because it is divible by the number of its divisors (96).

It is a self number, because there is not a number n which added to its sum of digits gives 2032673952.

It is not an unprimeable number, because it can be changed into a prime (2032673957) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 308452 + ... + 314972.

It is an arithmetic number, because the mean of its divisors is an integer number (59167584).

Almost surely, 22032673952 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 2032673952, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2840044032).

2032673952 is an abundant number, since it is smaller than the sum of its proper divisors (3647414112).

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

2032673952 is a wasteful number, since it uses less digits than its factorization.

2032673952 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6742 (or 6734 counting only the distinct ones).

The product of its (nonzero) digits is 136080, while the sum is 39.

The square root of 2032673952 is about 45085.1855047753. The cubic root of 2032673952 is about 1266.7451221334.

The spelling of 2032673952 in words is "two billion, thirty-two million, six hundred seventy-three thousand, nine hundred fifty-two".

Divisors: 1 2 3 4 6 8 12 16 17 24 32 34 48 51 68 96 102 136 191 204 272 382 408 544 573 764 816 1146 1528 1632 2292 3056 3247 4584 6112 6494 6521 9168 9741 12988 13042 18336 19482 19563 25976 26084 38964 39126 51952 52168 77928 78252 103904 104336 110857 155856 156504 208672 221714 311712 313008 332571 443428 626016 665142 886856 1245511 1330284 1773712 2491022 2660568 3547424 3736533 4982044 5321136 7473066 9964088 10642272 14946132 19928176 21173687 29892264 39856352 42347374 59784528 63521061 84694748 119569056 127042122 169389496 254084244 338778992 508168488 677557984 1016336976 2032673952