Search a number
-
+
2466797788 = 2272135961269
BaseRepresentation
bin1001001100001000…
…0101100011011100
320100220201022102001
42103002011203130
520023000012123
61044440012044
7115062302200
oct22302054334
96326638361
102466797788
111056496764
1258a161024
133040a5a80
1419588ab00
15e686d0ad
hex930858dc

2466797788 has 144 divisors (see below), whose sum is σ = 5610578400. Its totient is φ = 940101120.

The previous prime is 2466797741. The next prime is 2466797821. The reversal of 2466797788 is 8877976642.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 9170118 + ... + 9170386.

It is an arithmetic number, because the mean of its divisors is an integer number (38962350).

Almost surely, 22466797788 is an apocalyptic number.

2466797788 is a gapful number since it is divisible by the number (28) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2466797788, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2805289200).

2466797788 is an abundant number, since it is smaller than the sum of its proper divisors (3143780612).

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

2466797788 is a wasteful number, since it uses less digits than its factorization.

2466797788 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 420 (or 411 counting only the distinct ones).

The product of its digits is 56899584, while the sum is 64.

The square root of 2466797788 is about 49666.8681114483. The cubic root of 2466797788 is about 1351.1737004506.

The spelling of 2466797788 in words is "two billion, four hundred sixty-six million, seven hundred ninety-seven thousand, seven hundred eighty-eight".

Divisors: 1 2 4 7 13 14 26 28 49 52 59 61 91 98 118 122 182 196 236 244 269 364 413 427 538 637 767 793 826 854 1076 1274 1534 1586 1652 1708 1883 2548 2891 2989 3068 3172 3497 3599 3766 5369 5551 5782 5978 6994 7198 7532 10738 11102 11564 11956 13181 13988 14396 15871 16409 21476 22204 24479 25193 26362 31742 32818 37583 38857 46787 48958 50386 52724 63484 65636 75166 77714 93574 97916 100772 111097 114863 150332 155428 171353 176351 187148 206323 213317 222194 229726 327509 342706 352702 412646 426634 444388 459452 655018 685412 705404 777679 804041 825292 853268 968131 1310036 1444261 1493219 1555358 1608082 1936262 2292563 2888522 2986438 3110716 3216164 3872524 4585126 5777044 5972876 6776917 9170252 10109827 10452533 12585703 13553834 20219654 20905066 25171406 27107668 40439308 41810132 47438419 50342812 88099921 94876838 176199842 189753676 352399684 616699447 1233398894 2466797788