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4084476192 = 253758363
BaseRepresentation
bin1111001101110100…
…0010100100100000
3101112122122220000000
43303131002210200
531331111214232
61513144300000
7203134321566
oct36335024440
911478586000
104084476192
111806642465
1295ba71600
1350128b324
142aa663a36
1518d8b027c
hexf3742920

4084476192 has 96 divisors (see below), whose sum is σ = 12060336960. Its totient is φ = 1361468736.

The previous prime is 4084476181. The next prime is 4084476223. The reversal of 4084476192 is 2916744804.

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

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 40803 + ... + 99165.

It is an arithmetic number, because the mean of its divisors is an integer number (125628510).

Almost surely, 24084476192 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 4084476192, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6030168480).

4084476192 is an abundant number, since it is smaller than the sum of its proper divisors (7975860768).

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

4084476192 is an frugal number, since it uses more digits than its factorization.

4084476192 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 58394 (or 58368 counting only the distinct ones).

The product of its (nonzero) digits is 387072, while the sum is 45.

The square root of 4084476192 is about 63909.9068376727. The cubic root of 4084476192 is about 1598.4980947832.

The spelling of 4084476192 in words is "four billion, eighty-four million, four hundred seventy-six thousand, one hundred ninety-two".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 72 81 96 108 144 162 216 243 288 324 432 486 648 729 864 972 1296 1458 1944 2187 2592 2916 3888 4374 5832 7776 8748 11664 17496 23328 34992 58363 69984 116726 175089 233452 350178 466904 525267 700356 933808 1050534 1400712 1575801 1867616 2101068 2801424 3151602 4202136 4727403 5602848 6303204 8404272 9454806 12606408 14182209 16808544 18909612 25212816 28364418 37819224 42546627 50425632 56728836 75638448 85093254 113457672 127639881 151276896 170186508 226915344 255279762 340373016 453830688 510559524 680746032 1021119048 1361492064 2042238096 4084476192