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4079616 = 214383
BaseRepresentation
bin1111100100000000000000
321200021011220
433210000000
52021021431
6223235040
746450632
oct17440000
97607156
104079616
112337092
121448a80
13acab98
14782a52
15558b96
hex3e4000

4079616 has 60 divisors (see below), whose sum is σ = 11009712. Its totient is φ = 1343488.

The previous prime is 4079573. The next prime is 4079617. The reversal of 4079616 is 6169704.

It is a happy number.

It is a nialpdrome in base 4.

It is not an unprimeable number, because it can be changed into a prime (4079617) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 49111 + ... + 49193.

Almost surely, 24079616 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 4079616, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5504856).

4079616 is an abundant number, since it is smaller than the sum of its proper divisors (6930096).

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

4079616 is an frugal number, since it uses more digits than its factorization.

4079616 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 114 (or 88 counting only the distinct ones).

The product of its (nonzero) digits is 9072, while the sum is 33.

The square root of 4079616 is about 2019.8059312716. The cubic root of 4079616 is about 159.7863815884.

The spelling of 4079616 in words is "four million, seventy-nine thousand, six hundred sixteen".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 64 83 96 128 166 192 249 256 332 384 498 512 664 768 996 1024 1328 1536 1992 2048 2656 3072 3984 4096 5312 6144 7968 8192 10624 12288 15936 16384 21248 24576 31872 42496 49152 63744 84992 127488 169984 254976 339968 509952 679936 1019904 1359872 2039808 4079616