Search a number
-
+
5627525046 = 23111323319199
BaseRepresentation
bin1010011110110110…
…10011011110110110
3112112012011220002120
411033123103132312
543011121300141
62330225220410
7256312113363
oct51733233666
915465156076
105627525046
112428655950
121110791706
136b8b73aa0
143b557146a
1522e0aec66
hex14f6d37b6

5627525046 has 128 divisors (see below), whose sum is σ = 14244249600. Its totient is φ = 1456963200.

The previous prime is 5627525009. The next prime is 5627525063. The reversal of 5627525046 is 6405257265.

It is a junction number, because it is equal to n+sod(n) for n = 5627524989 and 5627525007.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 607155 + ... + 616353.

It is an arithmetic number, because the mean of its divisors is an integer number (111283200).

Almost surely, 25627525046 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 5627525046, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7122124800).

5627525046 is an abundant number, since it is smaller than the sum of its proper divisors (8616724554).

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

5627525046 is a wasteful number, since it uses less digits than its factorization.

5627525046 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9282.

The product of its (nonzero) digits is 504000, while the sum is 42.

The square root of 5627525046 is about 75016.8317512810. The cubic root of 5627525046 is about 1778.7127255976.

The spelling of 5627525046 in words is "five billion, six hundred twenty-seven million, five hundred twenty-five thousand, forty-six".

Divisors: 1 2 3 6 11 13 22 23 26 31 33 39 46 62 66 69 78 93 138 143 186 253 286 299 341 403 429 506 598 682 713 759 806 858 897 1023 1209 1426 1518 1794 2046 2139 2418 3289 4278 4433 6578 7843 8866 9199 9269 9867 13299 15686 18398 18538 19734 23529 26598 27597 27807 47058 55194 55614 101189 101959 119587 202378 203918 211577 239174 285169 303567 305877 358761 423154 570338 607134 611754 634731 717522 855507 1269462 1315457 1711014 2327347 2630914 2750501 3136859 3707197 3946371 4654694 5501002 6273718 6558887 6982041 7414394 7892742 8251503 9410577 11121591 13117774 13964082 16503006 18821154 19676661 22243182 30255511 39353322 40779167 60511022 72147757 81558334 85265531 90766533 122337501 144295514 170531062 181533066 216443271 244675002 255796593 432886542 511593186 937920841 1875841682 2813762523 5627525046