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3629000778 = 2313175714793
BaseRepresentation
bin1101100001001110…
…0010100001001010
3100100220121100012020
43120103202201022
524413011011103
61400034025310
7155633666124
oct33023424112
910326540166
103629000778
1115a2526aa7
12853418236
1345aac5350
14265d7c214
151638de753
hexd84e284a

3629000778 has 64 divisors (see below), whose sum is σ = 8292316032. Its totient is φ = 1048872960.

The previous prime is 3629000731. The next prime is 3629000803. The reversal of 3629000778 is 8770009263.

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 31 ways as a sum of consecutive naturals, for example, 754750 + ... + 759542.

It is an arithmetic number, because the mean of its divisors is an integer number (129567438).

Almost surely, 23629000778 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3629000778, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4146158016).

3629000778 is an abundant number, since it is smaller than the sum of its proper divisors (4663315254).

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

3629000778 is a wasteful number, since it uses less digits than its factorization.

3629000778 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5399.

The product of its (nonzero) digits is 127008, while the sum is 42.

The square root of 3629000778 is about 60241.1883846924. The cubic root of 3629000778 is about 1536.7233387458.

The spelling of 3629000778 in words is "three billion, six hundred twenty-nine million, seven hundred seventy-eight", and thus it is an aban number.

Divisors: 1 2 3 6 13 17 26 34 39 51 78 102 221 442 571 663 1142 1326 1713 3426 4793 7423 9586 9707 14379 14846 19414 22269 28758 29121 44538 58242 62309 81481 124618 126191 162962 186927 244443 252382 373854 378573 488886 757146 1059253 2118506 2736803 3177759 5473606 6355518 8210409 16420818 35578439 46525651 71156878 93051302 106735317 139576953 213470634 279153906 604833463 1209666926 1814500389 3629000778