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628849716 = 2231123434817
BaseRepresentation
bin100101011110110…
…111110000110100
31121211021212122020
4211132313300310
52241441142331
6142222233140
721404064045
oct4536676064
91554255566
10628849716
112a2a73110
121567257b0
13a038a131
145d7368cc
153a31ac96
hex257b7c34

628849716 has 96 divisors (see below), whose sum is σ = 1709503488. Its totient is φ = 177999360.

The previous prime is 628849699. The next prime is 628849763. The reversal of 628849716 is 617948826.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 128140 + ... + 132956.

It is an arithmetic number, because the mean of its divisors is an integer number (17807328).

Almost surely, 2628849716 is an apocalyptic number.

628849716 is a gapful number since it is divisible by the number (66) 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 628849716, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (854751744).

628849716 is an abundant number, since it is smaller than the sum of its proper divisors (1080653772).

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

628849716 is a wasteful number, since it uses less digits than its factorization.

628849716 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4901 (or 4899 counting only the distinct ones).

The product of its digits is 1161216, while the sum is 51.

The square root of 628849716 is about 25076.8761212397. The cubic root of 628849716 is about 856.7398271751.

The spelling of 628849716 in words is "six hundred twenty-eight million, eight hundred forty-nine thousand, seven hundred sixteen".

Divisors: 1 2 3 4 6 11 12 22 23 33 43 44 46 66 69 86 92 129 132 138 172 253 258 276 473 506 516 759 946 989 1012 1419 1518 1892 1978 2838 2967 3036 3956 4817 5676 5934 9634 10879 11868 14451 19268 21758 28902 32637 43516 52987 57804 65274 105974 110791 130548 158961 207131 211948 221582 317922 332373 414262 443164 621393 635844 664746 828524 1218701 1242786 1329492 2278441 2437402 2485572 3656103 4556882 4764013 4874804 6835323 7312206 9113764 9528026 13670646 14292039 14624412 19056052 27341292 28584078 52404143 57168156 104808286 157212429 209616572 314424858 628849716