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4193315904 = 263531512729
BaseRepresentation
bin1111100111110000…
…1110110001000000
3101211020110112000110
43321330032301000
532041442102104
61532033151320
7205625411541
oct37174166100
911736415013
104193315904
111862021338
129903bb540
1351a9a851b
142bacb64c8
1519820de89
hexf9f0ec40

4193315904 has 112 divisors (see below), whose sum is σ = 11383182720. Its totient is φ = 1361817600.

The previous prime is 4193315899. The next prime is 4193315923. The reversal of 4193315904 is 4095133914.

It is a happy number.

4193315904 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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, 1535212 + ... + 1537940.

It is an arithmetic number, because the mean of its divisors is an integer number (101635560).

Almost surely, 24193315904 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 4193315904, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5691591360).

4193315904 is an abundant number, since it is smaller than the sum of its proper divisors (7189866816).

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

4193315904 is a wasteful number, since it uses less digits than its factorization.

4193315904 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2948 (or 2938 counting only the distinct ones).

The product of its (nonzero) digits is 58320, while the sum is 39.

The square root of 4193315904 is about 64755.8175301648. The cubic root of 4193315904 is about 1612.5722938082.

The spelling of 4193315904 in words is "four billion, one hundred ninety-three million, three hundred fifteen thousand, nine hundred four".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 53 64 96 106 151 159 192 212 302 318 424 453 604 636 848 906 1208 1272 1696 1812 2416 2544 2729 3392 3624 4832 5088 5458 7248 8003 8187 9664 10176 10916 14496 16006 16374 21832 24009 28992 32012 32748 43664 48018 64024 65496 87328 96036 128048 130992 144637 174656 192072 256096 261984 289274 384144 412079 433911 512192 523968 578548 768288 824158 867822 1157096 1236237 1536576 1648316 1735644 2314192 2472474 3296632 3471288 4628384 4944948 6593264 6942576 9256768 9889896 13186528 13885152 19779792 21840187 26373056 27770304 39559584 43680374 65520561 79119168 87360748 131041122 174721496 262082244 349442992 524164488 698885984 1048328976 1397771968 2096657952 4193315904