Search a number
-
+
5625604446 = 23721112713697
BaseRepresentation
bin1010011110100111…
…11110100101011110
3112112001120022112020
411033103332211132
543010123320241
62330120121010
7256256564100
oct51723764536
915461508466
105625604446
112427563980
121110006166
136b8650837
143b51d1570
1522dd30b66
hex14f4fe95e

5625604446 has 96 divisors (see below), whose sum is σ = 14391447552. Its totient is φ = 1449584640.

The previous prime is 5625604433. The next prime is 5625604459. The reversal of 5625604446 is 6444065265.

It is an interprime number because it is at equal distance from previous prime (5625604433) and next prime (5625604459).

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a junction number, because it is equal to n+sod(n) for n = 5625604398 and 5625604407.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 403870 + ... + 417566.

It is an arithmetic number, because the mean of its divisors is an integer number (149910912).

Almost surely, 25625604446 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 5625604446, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7195723776).

5625604446 is an abundant number, since it is smaller than the sum of its proper divisors (8765843106).

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

5625604446 is a wasteful number, since it uses less digits than its factorization.

5625604446 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13854 (or 13847 counting only the distinct ones).

The product of its (nonzero) digits is 691200, while the sum is 42.

The square root of 5625604446 is about 75004.0295317525. The cubic root of 5625604446 is about 1778.5103521836.

The spelling of 5625604446 in words is "five billion, six hundred twenty-five million, six hundred four thousand, four hundred forty-six".

Divisors: 1 2 3 6 7 11 14 21 22 33 42 49 66 77 98 127 147 154 231 254 294 381 462 539 762 889 1078 1397 1617 1778 2667 2794 3234 4191 5334 6223 8382 9779 12446 13697 18669 19558 27394 29337 37338 41091 58674 68453 82182 95879 136906 150667 191758 205359 287637 301334 410718 452001 575274 671153 904002 1054669 1342306 1739519 2013459 2109338 3164007 3479038 4026918 5218557 6328014 7382683 10437114 12176633 14765366 19134709 22148049 24353266 36529899 38269418 44296098 57404127 73059798 85236431 114808254 133942963 170472862 255709293 267885926 401828889 511418586 803657778 937600741 1875201482 2812802223 5625604446