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4092204672 = 27334572591
BaseRepresentation
bin1111001111101010…
…0001011010000000
3101120012012112111000
43303322201122000
531340101022142
61514022052000
7203260110603
oct36372413200
911505175430
104092204672
11180aa40a36
1296257a000
13502a65caa
142ab6b633a
1518e3da14c
hexf3ea1680

4092204672 has 128 divisors (see below), whose sum is σ = 12108787200. Its totient is φ = 1360558080.

The previous prime is 4092204653. The next prime is 4092204709. The reversal of 4092204672 is 2764022904.

It is a tau number, because it is divible by the number of its divisors (128).

It is a super-2 number, since 2×40922046722 = 33492278155077255168, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

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, 1578097 + ... + 1580687.

It is an arithmetic number, because the mean of its divisors is an integer number (94599900).

Almost surely, 24092204672 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 4092204672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6054393600).

4092204672 is an abundant number, since it is smaller than the sum of its proper divisors (8016582528).

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

4092204672 is a wasteful number, since it uses less digits than its factorization.

4092204672 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3071 (or 3053 counting only the distinct ones).

The product of its (nonzero) digits is 48384, while the sum is 36.

The square root of 4092204672 is about 63970.3421282081. The cubic root of 4092204672 is about 1599.5056639523.

The spelling of 4092204672 in words is "four billion, ninety-two million, two hundred four thousand, six hundred seventy-two".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 64 72 96 108 128 144 192 216 288 384 432 457 576 864 914 1152 1371 1728 1828 2591 2742 3456 3656 4113 5182 5484 7312 7773 8226 10364 10968 12339 14624 15546 16452 20728 21936 23319 24678 29248 31092 32904 41456 43872 46638 49356 58496 62184 65808 69957 82912 87744 93276 98712 124368 131616 139914 165824 175488 186552 197424 248736 263232 279828 331648 373104 394848 497472 526464 559656 746208 789696 994944 1119312 1184087 1492416 1579392 2238624 2368174 2984832 3552261 4477248 4736348 7104522 8954496 9472696 10656783 14209044 18945392 21313566 28418088 31970349 37890784 42627132 56836176 63940698 75781568 85254264 113672352 127881396 151563136 170508528 227344704 255762792 341017056 454689408 511525584 682034112 1023051168 1364068224 2046102336 4092204672