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4028561952 = 2531011632549
BaseRepresentation
bin1111000000011110…
…1111101000100000
3101101202110011002020
43300013233220200
531222302440302
61503430021440
7201555132402
oct36007575040
911352404066
104028561952
111788022248
129451a7880
134c2811c8c
142a306ab72
15188a17ebc
hexf01efa20

4028561952 has 96 divisors (see below), whose sum is σ = 10749412800. Its totient is φ = 1320883200.

The previous prime is 4028561917. The next prime is 4028561981. The reversal of 4028561952 is 2591658204.

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

It is a super-2 number, since 2×40285619522 = 32458622802204100608, which contains 22 as substring.

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, 1579174 + ... + 1581722.

It is an arithmetic number, because the mean of its divisors is an integer number (111973050).

Almost surely, 24028561952 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 4028561952, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5374706400).

4028561952 is an abundant number, since it is smaller than the sum of its proper divisors (6720850848).

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

4028561952 is a wasteful number, since it uses less digits than its factorization.

4028561952 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2826 (or 2818 counting only the distinct ones).

The product of its (nonzero) digits is 172800, while the sum is 42.

The square root of 4028561952 is about 63470.9536087177. The cubic root of 4028561952 is about 1591.1703672908.

The spelling of 4028561952 in words is "four billion, twenty-eight million, five hundred sixty-one thousand, nine hundred fifty-two".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 96 101 163 202 303 326 404 489 606 652 808 978 1212 1304 1616 1956 2424 2549 2608 3232 3912 4848 5098 5216 7647 7824 9696 10196 15294 15648 16463 20392 30588 32926 40784 49389 61176 65852 81568 98778 122352 131704 197556 244704 257449 263408 395112 415487 514898 526816 772347 790224 830974 1029796 1246461 1544694 1580448 1661948 2059592 2492922 3089388 3323896 4119184 4985844 6178776 6647792 8238368 9971688 12357552 13295584 19943376 24715104 39886752 41964187 83928374 125892561 167856748 251785122 335713496 503570244 671426992 1007140488 1342853984 2014280976 4028561952