Search a number
-
+
4020555504 = 243730738977
BaseRepresentation
bin1110111110100100…
…1100111011110000
3101101012101101022010
43233221030323300
531213230234004
61502542242520
7201430105110
oct35751147360
911335341263
104020555504
111783553949
12942586440
134c0c6a934
142a1d85040
15187e85a89
hexefa4cef0

4020555504 has 80 divisors (see below), whose sum is σ = 11909182208. Its totient is φ = 1144958976.

The previous prime is 4020555493. The next prime is 4020555541. The reversal of 4020555504 is 4055550204.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 83664 + ... + 122640.

Almost surely, 24020555504 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 4020555504, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5954591104).

4020555504 is an abundant number, since it is smaller than the sum of its proper divisors (7888626704).

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

4020555504 is a wasteful number, since it uses less digits than its factorization.

4020555504 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 39302 (or 39296 counting only the distinct ones).

The product of its (nonzero) digits is 20000, while the sum is 30.

The square root of 4020555504 is about 63407.8504918752. The cubic root of 4020555504 is about 1590.1155598143.

The spelling of 4020555504 in words is "four billion, twenty million, five hundred fifty-five thousand, five hundred four".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 42 48 56 84 112 168 307 336 614 921 1228 1842 2149 2456 3684 4298 4912 6447 7368 8596 12894 14736 17192 25788 34384 38977 51576 77954 103152 116931 155908 233862 272839 311816 467724 545678 623632 818517 935448 1091356 1637034 1870896 2182712 3274068 4365424 6548136 11965939 13096272 23931878 35897817 47863756 71795634 83761573 95727512 143591268 167523146 191455024 251284719 287182536 335046292 502569438 574365072 670092584 1005138876 1340185168 2010277752 4020555504