Search a number
-
+
4980688056 = 233429713733
BaseRepresentation
bin1001010001101111…
…10100010010111000
3110212010001011120000
410220313310102320
540200024004211
62142121233000
7234266102301
oct45067642270
913763034500
104980688056
112126517723
12b70032760
13614b596c6
143536b57a8
151e23de656
hex128df44b8

4980688056 has 160 divisors (see below), whose sum is σ = 14638773600. Its totient is φ = 1579979520.

The previous prime is 4980688051. The next prime is 4980688057. The reversal of 4980688056 is 6508860894.

It is a happy number.

It is a super-2 number, since 2×49806880562 = 49614507022362118272, which contains 22 as substring.

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

It is a junction number, because it is equal to n+sod(n) for n = 4980687993 and 4980688011.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4980688051) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 1332366 + ... + 1336098.

It is an arithmetic number, because the mean of its divisors is an integer number (91492335).

Almost surely, 24980688056 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 4980688056, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7319386800).

4980688056 is an abundant number, since it is smaller than the sum of its proper divisors (9658085544).

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

4980688056 is a wasteful number, since it uses less digits than its factorization.

4980688056 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3851 (or 3838 counting only the distinct ones).

The product of its (nonzero) digits is 3317760, while the sum is 54.

The square root of 4980688056 is about 70573.9899396371. The cubic root of 4980688056 is about 1707.7715755417.

The spelling of 4980688056 in words is "four billion, nine hundred eighty million, six hundred eighty-eight thousand, fifty-six".

Divisors: 1 2 3 4 6 8 9 12 18 24 27 29 36 54 58 71 72 81 87 108 116 142 162 174 213 216 232 261 284 324 348 426 522 568 639 648 696 783 852 1044 1278 1566 1704 1917 2059 2088 2349 2556 3132 3733 3834 4118 4698 5112 5751 6177 6264 7466 7668 8236 9396 11199 11502 12354 14932 15336 16472 18531 18792 22398 23004 24708 29864 33597 37062 44796 46008 49416 55593 67194 74124 89592 100791 108257 111186 134388 148248 166779 201582 216514 222372 265043 268776 302373 324771 333558 403164 433028 444744 530086 604746 649542 667116 795129 806328 866056 974313 1060172 1209492 1299084 1334232 1590258 1948626 2120344 2385387 2418984 2598168 2922939 3180516 3897252 4770774 5845878 6361032 7156161 7686247 7794504 8768817 9541548 11691756 14312322 15372494 17537634 19083096 21468483 23058741 23383512 28624644 30744988 35075268 42936966 46117482 57249288 61489976 69176223 70150536 85873932 92234964 138352446 171747864 184469928 207528669 276704892 415057338 553409784 622586007 830114676 1245172014 1660229352 2490344028 4980688056