Search a number
-
+
4021548048 = 243372774801
BaseRepresentation
bin1110111110110011…
…1111010000010000
3101101021020210211000
43233230333100100
531214004014143
61503015422000
7201441410610
oct35754772020
911337223730
104021548048
111784071631
12942984900
134c122763b
142a2162a40
151880cebd3
hexefb3f410

4021548048 has 160 divisors (see below), whose sum is σ = 13242763520. Its totient is φ = 1144627200.

The previous prime is 4021548023. The next prime is 4021548103. The reversal of 4021548048 is 8408451204.

It is a super-2 number, since 2×40215480482 = 32345697404745220608, 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 31 ways as a sum of consecutive naturals, for example, 835248 + ... + 840048.

It is an arithmetic number, because the mean of its divisors is an integer number (82767272).

Almost surely, 24021548048 is an apocalyptic number.

4021548048 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 4021548048, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6621381760).

4021548048 is an abundant number, since it is smaller than the sum of its proper divisors (9221215472).

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

4021548048 is a wasteful number, since it uses less digits than its factorization.

4021548048 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5102 (or 5090 counting only the distinct ones).

The product of its (nonzero) digits is 40960, while the sum is 36.

The square root of 4021548048 is about 63415.6766738320. The cubic root of 4021548048 is about 1590.2463982686.

The spelling of 4021548048 in words is "four billion, twenty-one million, five hundred forty-eight thousand, forty-eight".

Divisors: 1 2 3 4 6 7 8 9 12 14 16 18 21 24 27 28 36 42 48 54 56 63 72 84 108 112 126 144 168 189 216 252 277 336 378 432 504 554 756 831 1008 1108 1512 1662 1939 2216 2493 3024 3324 3878 4432 4801 4986 5817 6648 7479 7756 9602 9972 11634 13296 14403 14958 15512 17451 19204 19944 23268 28806 29916 31024 33607 34902 38408 39888 43209 46536 52353 57612 59832 67214 69804 76816 86418 93072 100821 104706 115224 119664 129627 134428 139608 172836 201642 209412 230448 259254 268856 279216 302463 345672 403284 418824 518508 537712 604926 691344 806568 837648 907389 1037016 1209852 1329877 1613136 1814778 2074032 2419704 2659754 3629556 3989631 4839408 5319508 7259112 7979262 9309139 10639016 11968893 14518224 15958524 18618278 21278032 23937786 27927417 31917048 35906679 37236556 47875572 55854834 63834096 71813358 74473112 83782251 95751144 111709668 143626716 148946224 167564502 191502288 223419336 251346753 287253432 335129004 446838672 502693506 574506864 670258008 1005387012 1340516016 2010774024 4021548048