Search a number
-
+
4025214648 = 233471368261
BaseRepresentation
bin1110111111101011…
…1110011010111000
3101101112011002110000
43233322332122320
531220423332043
61503230153000
7201514521450
oct35772763270
911345132400
104025214648
111786146384
12944052760
134c1c0c520
142a2838d60
151885a62d3
hexefebe6b8

4025214648 has 160 divisors (see below), whose sum is σ = 13876299360. Its totient is φ = 1061579520.

The previous prime is 4025214637. The next prime is 4025214653. The reversal of 4025214648 is 8464125204.

4025214648 is a `hidden beast` number, since 4 + 0 + 2 + 5 + 2 + 1 + 4 + 648 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

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, 24838 + ... + 93098.

It is an arithmetic number, because the mean of its divisors is an integer number (86726871).

Almost surely, 24025214648 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 4025214648, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6938149680).

4025214648 is an abundant number, since it is smaller than the sum of its proper divisors (9851084712).

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

4025214648 is a wasteful number, since it uses less digits than its factorization.

4025214648 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 68299 (or 68286 counting only the distinct ones).

The product of its (nonzero) digits is 61440, while the sum is 36.

The square root of 4025214648 is about 63444.5793429194. The cubic root of 4025214648 is about 1590.7295477272.

The spelling of 4025214648 in words is "four billion, twenty-five million, two hundred fourteen thousand, six hundred forty-eight".

Divisors: 1 2 3 4 6 7 8 9 12 13 14 18 21 24 26 27 28 36 39 42 52 54 56 63 72 78 81 84 91 104 108 117 126 156 162 168 182 189 216 234 252 273 312 324 351 364 378 468 504 546 567 648 702 728 756 819 936 1053 1092 1134 1404 1512 1638 2106 2184 2268 2457 2808 3276 4212 4536 4914 6552 7371 8424 9828 14742 19656 29484 58968 68261 136522 204783 273044 409566 477827 546088 614349 819132 887393 955654 1228698 1433481 1638264 1774786 1843047 1911308 2457396 2662179 2866962 3549572 3686094 3822616 4300443 4914792 5324358 5529141 5733924 6211751 7099144 7372188 7986537 8600886 10648716 11058282 11467848 12423502 12901329 14744376 15973074 17201772 18635253 21297432 22116564 23959611 24847004 25802658 31946148 34403544 37270506 38703987 44233128 47919222 49694008 51605316 55905759 63892296 71878833 74541012 77407974 95838444 103210632 111811518 143757666 149082024 154815948 167717277 191676888 223623036 287515332 309631896 335434554 447246072 503151831 575030664 670869108 1006303662 1341738216 2012607324 4025214648