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4080604128 = 253229419443
BaseRepresentation
bin1111001100111001…
…0001001111100000
3101112101101011112020
43303032101033200
531324113313003
61512525301440
7203056364016
oct36316211740
911471334466
104080604128
111804438307
1295a704880
13500533a73
142a9d368b6
1518d397d53
hexf33913e0

4080604128 has 96 divisors (see below), whose sum is σ = 10808380800. Its totient is φ = 1347979776.

The previous prime is 4080604093. The next prime is 4080604147. The reversal of 4080604128 is 8214060804.

4080604128 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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

It is a congruent number.

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, 9211075 + ... + 9211517.

It is an arithmetic number, because the mean of its divisors is an integer number (112587300).

Almost surely, 24080604128 is an apocalyptic number.

4080604128 is a gapful number since it is divisible by the number (48) 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 4080604128, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5404190400).

4080604128 is an abundant number, since it is smaller than the sum of its proper divisors (6727776672).

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

4080604128 is a wasteful number, since it uses less digits than its factorization.

4080604128 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1104 (or 1096 counting only the distinct ones).

The product of its (nonzero) digits is 12288, while the sum is 33.

The square root of 4080604128 is about 63879.6065109985. The cubic root of 4080604128 is about 1597.9928122179.

The spelling of 4080604128 in words is "four billion, eighty million, six hundred four thousand, one hundred twenty-eight".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 96 229 419 443 458 687 838 886 916 1257 1329 1374 1676 1772 1832 2514 2658 2748 3352 3544 3664 5028 5316 5496 6704 7088 7328 10056 10632 10992 13408 14176 20112 21264 21984 40224 42528 95951 101447 185617 191902 202894 287853 304341 371234 383804 405788 556851 575706 608682 742468 767608 811576 1113702 1151412 1217364 1484936 1535216 1623152 2227404 2302824 2434728 2969872 3070432 3246304 4454808 4605648 4869456 5939744 8909616 9211296 9738912 17819232 42506293 85012586 127518879 170025172 255037758 340050344 510075516 680100688 1020151032 1360201376 2040302064 4080604128