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4104252192 = 253314133637
BaseRepresentation
bin1111010010100001…
…1110101100100000
3101121000212121120110
43310220132230200
531401142032232
61515132211320
7203464365555
oct36450365440
911530777513
104104252192
11181681a467
12966609b40
135053c37c1
142ad130a2c
151904b9acc
hexf4a1eb20

4104252192 has 96 divisors (see below), whose sum is σ = 11392786944. Its totient is φ = 1291622400.

The previous prime is 4104252133. The next prime is 4104252197. The reversal of 4104252192 is 2912524014.

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

It is not an unprimeable number, because it can be changed into a prime (4104252197) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 105198 + ... + 138834.

It is an arithmetic number, because the mean of its divisors is an integer number (118674864).

Almost surely, 24104252192 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 4104252192, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5696393472).

4104252192 is an abundant number, since it is smaller than the sum of its proper divisors (7288534752).

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

4104252192 is a wasteful number, since it uses less digits than its factorization.

4104252192 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 33722 (or 33714 counting only the distinct ones).

The product of its (nonzero) digits is 5760, while the sum is 30.

The square root of 4104252192 is about 64064.4378106918. The cubic root of 4104252192 is about 1601.0737833737.

The spelling of 4104252192 in words is "four billion, one hundred four million, two hundred fifty-two thousand, one hundred ninety-two".

Divisors: 1 2 3 4 6 8 12 16 24 31 32 41 48 62 82 93 96 123 124 164 186 246 248 328 372 492 496 656 744 984 992 1271 1312 1488 1968 2542 2976 3813 3936 5084 7626 10168 15252 20336 30504 33637 40672 61008 67274 100911 122016 134548 201822 269096 403644 538192 807288 1042747 1076384 1379117 1614576 2085494 2758234 3128241 3229152 4137351 4170988 5516468 6256482 8274702 8341976 11032936 12512964 16549404 16683952 22065872 25025928 33098808 33367904 42752627 44131744 50051856 66197616 85505254 100103712 128257881 132395232 171010508 256515762 342021016 513031524 684042032 1026063048 1368084064 2052126096 4104252192