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628069376 = 21011237137
BaseRepresentation
bin100101011011111…
…001010000000000
31121202211020012202
4211123321100000
52241241210001
6142153412332
721364334024
oct4533712000
91552736182
10628069376
112a258a900
1215640a0a8
13a0175bac
145d5b2384
153a21496b
hex256f9400

628069376 has 132 divisors (see below), whose sum is σ = 1427684244. Its totient is φ = 275742720.

The previous prime is 628069367. The next prime is 628069381. The reversal of 628069376 is 673960826.

It can be written as a sum of positive squares in 2 ways, for example, as 476286976 + 151782400 = 21824^2 + 12320^2 .

It is a super-2 number, since 2×6280693762 = 788942282138058752, which contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 628069376.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 4584380 + ... + 4584516.

Almost surely, 2628069376 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 628069376, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (713842122).

628069376 is an abundant number, since it is smaller than the sum of its proper divisors (799614868).

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

628069376 is a wasteful number, since it uses less digits than its factorization.

628069376 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 216 (or 187 counting only the distinct ones).

The product of its (nonzero) digits is 653184, while the sum is 47.

The square root of 628069376 is about 25061.3123359492. The cubic root of 628069376 is about 856.3853041656.

The spelling of 628069376 in words is "six hundred twenty-eight million, sixty-nine thousand, three hundred seventy-six".

Divisors: 1 2 4 8 11 16 22 32 37 44 64 74 88 121 128 137 148 176 242 256 274 296 352 407 484 512 548 592 704 814 968 1024 1096 1184 1408 1507 1628 1936 2192 2368 2816 3014 3256 3872 4384 4477 4736 5069 5632 6028 6512 7744 8768 8954 9472 10138 11264 12056 13024 15488 16577 17536 17908 18944 20276 24112 26048 30976 33154 35072 35816 37888 40552 48224 52096 55759 61952 66308 70144 71632 81104 96448 104192 111518 123904 132616 140288 143264 162208 192896 208384 223036 265232 286528 324416 385792 416768 446072 530464 573056 613349 648832 771584 892144 1060928 1146112 1226698 1297664 1543168 1784288 2121856 2292224 2453396 2595328 3568576 4243712 4584448 4906792 5190656 7137152 8487424 9813584 14274304 16974848 19627168 28548608 39254336 57097216 78508672 157017344 314034688 628069376