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628673472 = 26327155921
BaseRepresentation
bin100101011110001…
…100101111000000
31121210221220212200
4211132030233000
52241420022342
6142214353200
721402431160
oct4536145700
91553856780
10628673472
112a2962759
1215665b800
13a0327b4b
145d6cc5a0
153a2d394c
hex2578cbc0

628673472 has 84 divisors (see below), whose sum is σ = 2059417776. Its totient is φ = 179619840.

The previous prime is 628673443. The next prime is 628673473. The reversal of 628673472 is 274376826.

It is a tau number, because it is divible by the number of its divisors (84).

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (628673473) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 73929 + ... + 81992.

Almost surely, 2628673472 is an apocalyptic number.

It is an amenable number.

628673472 is an abundant number, since it is smaller than the sum of its proper divisors (1430744304).

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

628673472 is a wasteful number, since it uses less digits than its factorization.

628673472 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 155946 (or 155933 counting only the distinct ones).

The product of its digits is 677376, while the sum is 45.

The square root of 628673472 is about 25073.3618009233. The cubic root of 628673472 is about 856.6597818911.

The spelling of 628673472 in words is "six hundred twenty-eight million, six hundred seventy-three thousand, four hundred seventy-two".

Divisors: 1 2 3 4 6 7 8 9 12 14 16 18 21 24 28 32 36 42 48 56 63 64 72 84 96 112 126 144 168 192 224 252 288 336 448 504 576 672 1008 1344 2016 4032 155921 311842 467763 623684 935526 1091447 1247368 1403289 1871052 2182894 2494736 2806578 3274341 3742104 4365788 4989472 5613156 6548682 7484208 8731576 9823023 9978944 11226312 13097364 14968416 17463152 19646046 22452624 26194728 29936832 34926304 39292092 44905248 52389456 69852608 78584184 89810496 104778912 157168368 209557824 314336736 628673472