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2008078812 = 2232412335839
BaseRepresentation
bin111011110110000…
…1101100111011100
312011221112222021100
41313230031213130
513103032010222
6531132033100
7100522250115
oct16754154734
95157488240
102008078812
11940565373
12480602790
1326004561c
1415099d20c
15bb45b4ac
hex77b0d9dc

2008078812 has 72 divisors (see below), whose sum is σ = 5222992320. Its totient is φ = 650119680.

The previous prime is 2008078799. The next prime is 2008078823. The reversal of 2008078812 is 2188708002.

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 pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 340989 + ... + 346827.

It is an arithmetic number, because the mean of its divisors is an integer number (72541560).

Almost surely, 22008078812 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 2008078812, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2611496160).

2008078812 is an abundant number, since it is smaller than the sum of its proper divisors (3214913508).

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

2008078812 is a wasteful number, since it uses less digits than its factorization.

2008078812 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6123 (or 6118 counting only the distinct ones).

The product of its (nonzero) digits is 14336, while the sum is 36.

The square root of 2008078812 is about 44811.5923841142. The cubic root of 2008078812 is about 1261.6152150143.

The spelling of 2008078812 in words is "two billion, eight million, seventy-eight thousand, eight hundred twelve".

Divisors: 1 2 3 4 6 9 12 18 36 41 82 123 164 233 246 369 466 492 699 738 932 1398 1476 2097 2796 4194 5839 8388 9553 11678 17517 19106 23356 28659 35034 38212 52551 57318 70068 85977 105102 114636 171954 210204 239399 343908 478798 718197 957596 1360487 1436394 2154591 2720974 2872788 4081461 4309182 5441948 8162922 8618364 12244383 16325844 24488766 48977532 55779967 111559934 167339901 223119868 334679802 502019703 669359604 1004039406 2008078812