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1628396520 = 2335193123039
BaseRepresentation
bin110000100001111…
…0101101111101000
311012111010010002020
41201003311233220
511313332142040
6425330104440
755232066502
oct14103655750
94174103066
101628396520
11766207453
1239541b120
131cc498c4a
141163a6d72
1597e5ccd0
hex610f5be8

1628396520 has 128 divisors (see below), whose sum is σ = 5308416000. Its totient is φ = 398096640.

The previous prime is 1628396507. The next prime is 1628396579. The reversal of 1628396520 is 256938261.

1628396520 is digitally balanced in base 4, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×16283965202 = 5303350452696220800, which contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 59161 + ... + 82199.

It is an arithmetic number, because the mean of its divisors is an integer number (41472000).

Almost surely, 21628396520 is an apocalyptic number.

1628396520 is a gapful number since it is divisible by the number (10) 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 1628396520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2654208000).

1628396520 is an abundant number, since it is smaller than the sum of its proper divisors (3680019480).

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

1628396520 is a wasteful number, since it uses less digits than its factorization.

1628396520 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 23103 (or 23099 counting only the distinct ones).

The product of its (nonzero) digits is 155520, while the sum is 42.

The square root of 1628396520 is about 40353.3953961745. The cubic root of 1628396520 is about 1176.4858871912.

The spelling of 1628396520 in words is "one billion, six hundred twenty-eight million, three hundred ninety-six thousand, five hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 12 15 19 20 24 30 31 38 40 57 60 62 76 93 95 114 120 124 152 155 186 190 228 248 285 310 372 380 456 465 570 589 620 744 760 930 1140 1178 1240 1767 1860 2280 2356 2945 3534 3720 4712 5890 7068 8835 11780 14136 17670 23039 23560 35340 46078 69117 70680 92156 115195 138234 184312 230390 276468 345585 437741 460780 552936 691170 714209 875482 921560 1313223 1382340 1428418 1750964 2142627 2188705 2626446 2764680 2856836 3501928 3571045 4285254 4377410 5252892 5713672 6566115 7142090 8570508 8754820 10505784 10713135 13132230 13569971 14284180 17141016 17509640 21426270 26264460 27139942 28568360 40709913 42852540 52528920 54279884 67849855 81419826 85705080 108559768 135699710 162839652 203549565 271399420 325679304 407099130 542798840 814198260 1628396520