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3608215968 = 25377373553
BaseRepresentation
bin1101011100010001…
…0000000110100000
3100022110111100210110
43113010100012200
524342200402333
61354012331320
7155262221040
oct32704200640
910273440713
103608215968
111591820075
12848473b40
134566c8946
142632cb720
15161b86063
hexd71101a0

3608215968 has 96 divisors (see below), whose sum is σ = 10973079936. Its totient is φ = 1016782848.

The previous prime is 3608215937. The next prime is 3608215973. The reversal of 3608215968 is 8695128063.

It is a happy number.

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

It is a Harshad number since it is a multiple of its sum of digits (48).

It is an unprimeable number.

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, 12280 + ... + 85832.

It is an arithmetic number, because the mean of its divisors is an integer number (114302916).

Almost surely, 23608215968 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 3608215968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5486539968).

3608215968 is an abundant number, since it is smaller than the sum of its proper divisors (7364863968).

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

3608215968 is a wasteful number, since it uses less digits than its factorization.

3608215968 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 73646 (or 73638 counting only the distinct ones).

The product of its (nonzero) digits is 622080, while the sum is 48.

The square root of 3608215968 is about 60068.4273807797. The cubic root of 3608215968 is about 1533.7839000191.

The spelling of 3608215968 in words is "three billion, six hundred eight million, two hundred fifteen thousand, nine hundred sixty-eight".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 32 42 48 56 73 84 96 112 146 168 219 224 292 336 438 511 584 672 876 1022 1168 1533 1752 2044 2336 3066 3504 4088 6132 7008 8176 12264 16352 24528 49056 73553 147106 220659 294212 441318 514871 588424 882636 1029742 1176848 1544613 1765272 2059484 2353696 3089226 3530544 4118968 5369369 6178452 7061088 8237936 10738738 12356904 16108107 16475872 21477476 24713808 32216214 37585583 42954952 49427616 64432428 75171166 85909904 112756749 128864856 150342332 171819808 225513498 257729712 300684664 451026996 515459424 601369328 902053992 1202738656 1804107984 3608215968