Search a number
-
+
4976779320 = 233452952967
BaseRepresentation
bin1001010001010001…
…11010000000111000
3110211211200120210000
410220220322000320
540143023414240
62141501353000
7234220632462
oct45050720070
913754616700
104976779320
112124297a67
12b6a868760
136140bb546
14352d79132
151e1dbb430
hex128a3a038

4976779320 has 160 divisors (see below), whose sum is σ = 17304645600. Its totient is φ = 1281353472.

The previous prime is 4976779319. The next prime is 4976779331. The reversal of 4976779320 is 239776794.

4976779320 is a `hidden beast` number, since 497 + 67 + 7 + 93 + 2 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 67477 + ... + 120443.

It is an arithmetic number, because the mean of its divisors is an integer number (108154035).

Almost surely, 24976779320 is an apocalyptic number.

4976779320 is a gapful number since it is divisible by the number (40) 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 4976779320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8652322800).

4976779320 is an abundant number, since it is smaller than the sum of its proper divisors (12327866280).

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

4976779320 is a wasteful number, since it uses less digits than its factorization.

4976779320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 53019 (or 53006 counting only the distinct ones).

The product of its (nonzero) digits is 4000752, while the sum is 54.

The square root of 4976779320 is about 70546.2920357973. The cubic root of 4976779320 is about 1707.3247179245.

The spelling of 4976779320 in words is "four billion, nine hundred seventy-six million, seven hundred seventy-nine thousand, three hundred twenty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 18 20 24 27 29 30 36 40 45 54 58 60 72 81 87 90 108 116 120 135 145 162 174 180 216 232 261 270 290 324 348 360 405 435 522 540 580 648 696 783 810 870 1044 1080 1160 1305 1566 1620 1740 2088 2349 2610 3132 3240 3480 3915 4698 5220 6264 7830 9396 10440 11745 15660 18792 23490 31320 46980 52967 93960 105934 158901 211868 264835 317802 423736 476703 529670 635604 794505 953406 1059340 1271208 1430109 1536043 1589010 1906812 2118680 2383515 2860218 3072086 3178020 3813624 4290327 4608129 4767030 5720436 6144172 6356040 7150545 7680215 8580654 9216258 9534060 11440872 12288344 13824387 14301090 15360430 17161308 18432516 19068120 21451635 23040645 27648774 28602180 30720860 34322616 36865032 41473161 42903270 46081290 55297548 57204360 61441720 69121935 82946322 85806540 92162580 110595096 124419483 138243870 165892644 171613080 184325160 207365805 248838966 276487740 331785288 414731610 497677932 552975480 622097415 829463220 995355864 1244194830 1658926440 2488389660 4976779320