Search a number
-
+
4026424776 = 23311167271337
BaseRepresentation
bin1110111111111110…
…0101110111001000
3101101121102120102120
43233333211313020
531221231043101
61503312131240
7201531021513
oct35777456710
911347376376
104026424776
1117868a2590
12944536b20
134c224428a
142a2a71d7a
15188744b36
hexeffe5dc8

4026424776 has 128 divisors (see below), whose sum is σ = 11120578560. Its totient is φ = 1204761600.

The previous prime is 4026424723. The next prime is 4026424847. The reversal of 4026424776 is 6774246204.

It is a happy number.

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, 11947680 + ... + 11948016.

It is an arithmetic number, because the mean of its divisors is an integer number (86879520).

Almost surely, 24026424776 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 4026424776, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5560289280).

4026424776 is an abundant number, since it is smaller than the sum of its proper divisors (7094153784).

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

4026424776 is a wasteful number, since it uses less digits than its factorization.

4026424776 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 795 (or 791 counting only the distinct ones).

The product of its (nonzero) digits is 451584, while the sum is 42.

The square root of 4026424776 is about 63454.1155166471. The cubic root of 4026424776 is about 1590.8889424146. Note that the first 3 decimals are identical.

The spelling of 4026424776 in words is "four billion, twenty-six million, four hundred twenty-four thousand, seven hundred seventy-six".

Divisors: 1 2 3 4 6 8 11 12 22 24 33 44 66 88 132 167 264 271 334 337 501 542 668 674 813 1002 1011 1084 1336 1348 1626 1837 2004 2022 2168 2696 2981 3252 3674 3707 4008 4044 5511 5962 6504 7348 7414 8088 8943 11022 11121 11924 14696 14828 17886 22044 22242 23848 29656 35772 44088 44484 45257 56279 71544 88968 90514 91327 112558 135771 168837 181028 182654 225116 271542 273981 337674 362056 365308 450232 497827 543084 547962 619069 675348 730616 995654 1004597 1086168 1095924 1238138 1350696 1493481 1857207 1991308 2009194 2191848 2476276 2986962 3013791 3714414 3982616 4018388 4952552 5973924 6027582 7428828 8036776 11947848 12055164 14857656 15251609 24110328 30503218 45754827 61006436 91509654 122012872 167767699 183019308 335535398 366038616 503303097 671070796 1006606194 1342141592 2013212388 4026424776