Search a number
-
+
2028697008 = 2431361223239
BaseRepresentation
bin111100011101011…
…0111010110110000
312020101100111010020
41320322313112300
513123321301013
6533150003440
7101162432352
oct17072672660
95211314106
102028697008
119511680a8
124874a6580
132643b4240
141536090d2
15bd180623
hex78eb75b0

2028697008 has 160 divisors (see below), whose sum is σ = 5786296320. Its totient is φ = 608670720.

The previous prime is 2028696977. The next prime is 2028697019. The reversal of 2028697008 is 8007968202.

It is a happy number.

It is a super-2 number, since 2×20286970082 = 8231223100536304128, which contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 8488153 + ... + 8488391.

It is an arithmetic number, because the mean of its divisors is an integer number (36164352).

Almost surely, 22028697008 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 2028697008, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2893148160).

2028697008 is an abundant number, since it is smaller than the sum of its proper divisors (3757599312).

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

2028697008 is a wasteful number, since it uses less digits than its factorization.

2028697008 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 547 (or 541 counting only the distinct ones).

The product of its (nonzero) digits is 96768, while the sum is 42.

The square root of 2028697008 is about 45041.0591349715. The cubic root of 2028697008 is about 1265.9184502075.

The spelling of 2028697008 in words is "two billion, twenty-eight million, six hundred ninety-seven thousand, eight".

Divisors: 1 2 3 4 6 8 12 13 16 24 26 39 48 52 61 78 104 122 156 183 208 223 239 244 312 366 446 478 488 624 669 717 732 793 892 956 976 1338 1434 1464 1586 1784 1912 2379 2676 2868 2899 2928 3107 3172 3568 3824 4758 5352 5736 5798 6214 6344 8697 9321 9516 10704 11472 11596 12428 12688 13603 14579 17394 18642 19032 23192 24856 27206 29158 34788 37284 38064 40809 43737 46384 49712 53297 54412 58316 69576 74568 81618 87474 106594 108824 116632 139152 149136 159891 163236 174948 176839 189527 213188 217648 233264 319782 326472 349896 353678 379054 426376 530517 568581 639564 652944 692861 699792 707356 758108 852752 1061034 1137162 1279128 1385722 1414712 1516216 2078583 2122068 2274324 2558256 2771444 2829424 3032432 3251117 4157166 4244136 4548648 5542888 6502234 8314332 8488272 9097296 9753351 11085776 13004468 16628664 19506702 26008936 33257328 39013404 42264521 52017872 78026808 84529042 126793563 156053616 169058084 253587126 338116168 507174252 676232336 1014348504 2028697008