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4094880 = 253519449
BaseRepresentation
bin1111100111101110100000
321201001010020
433213232200
52022014010
6223433440
746543266
oct17475640
97631106
104094880
1123475a9
121455880
13b04b0a
14788436
1555d470
hex3e7ba0

4094880 has 96 divisors (see below), whose sum is σ = 13608000. Its totient is φ = 1032192.

The previous prime is 4094879. The next prime is 4094903. The reversal of 4094880 is 884904.

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

It is an unprimeable number.

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 15 ways as a sum of consecutive naturals, for example, 8896 + ... + 9344.

It is an arithmetic number, because the mean of its divisors is an integer number (141750).

Almost surely, 24094880 is an apocalyptic number.

4094880 is a gapful number since it is divisible by the number (40) 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 4094880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6804000).

4094880 is an abundant number, since it is smaller than the sum of its proper divisors (9513120).

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

4094880 is a wasteful number, since it uses less digits than its factorization.

4094880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 486 (or 478 counting only the distinct ones).

The product of its (nonzero) digits is 9216, while the sum is 33.

The square root of 4094880 is about 2023.5809842949. The cubic root of 4094880 is about 159.9854153373.

The spelling of 4094880 in words is "four million, ninety-four thousand, eight hundred eighty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 19 20 24 30 32 38 40 48 57 60 76 80 95 96 114 120 152 160 190 228 240 285 304 380 449 456 480 570 608 760 898 912 1140 1347 1520 1796 1824 2245 2280 2694 3040 3592 4490 4560 5388 6735 7184 8531 8980 9120 10776 13470 14368 17062 17960 21552 25593 26940 34124 35920 42655 43104 51186 53880 68248 71840 85310 102372 107760 127965 136496 170620 204744 215520 255930 272992 341240 409488 511860 682480 818976 1023720 1364960 2047440 4094880