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628027452 = 223313617333
BaseRepresentation
bin100101011011101…
…111000000111100
31121202202002201000
4211123233000330
52241233334302
6142152450300
721364100553
oct4533570074
91552662630
10628027452
112a2561358
121563a9990
13a015caa0
145d5a0d9a
153a20731c
hex256ef03c

628027452 has 96 divisors (see below), whose sum is σ = 1782455360. Its totient is φ = 190045440.

The previous prime is 628027429. The next prime is 628027453. The reversal of 628027452 is 254720826.

628027452 is a `hidden beast` number, since 628 + 0 + 27 + 4 + 5 + 2 = 666.

It is a super-2 number, since 2×6280274522 = 788836960931224608, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (628027453) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 81978 + ... + 89310.

Almost surely, 2628027452 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 628027452, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (891227680).

628027452 is an abundant number, since it is smaller than the sum of its proper divisors (1154427908).

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

628027452 is a wasteful number, since it uses less digits than its factorization.

628027452 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7420 (or 7412 counting only the distinct ones).

The product of its (nonzero) digits is 53760, while the sum is 36.

The square root of 628027452 is about 25060.4758933265. The cubic root of 628027452 is about 856.3662490008.

The spelling of 628027452 in words is "six hundred twenty-eight million, twenty-seven thousand, four hundred fifty-two".

Divisors: 1 2 3 4 6 9 12 13 18 26 27 36 39 52 54 61 78 108 117 122 156 183 234 244 351 366 468 549 702 732 793 1098 1404 1586 1647 2196 2379 3172 3294 4758 6588 7137 7333 9516 14274 14666 21411 21999 28548 29332 42822 43998 65997 85644 87996 95329 131994 190658 197991 263988 285987 381316 395982 447313 571974 791964 857961 894626 1143948 1341939 1715922 1789252 2573883 2683878 3431844 4025817 5147766 5367756 5815069 8051634 10295532 11630138 12077451 16103268 17445207 23260276 24154902 34890414 48309804 52335621 69780828 104671242 157006863 209342484 314013726 628027452