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2628834950 = 2527171812441
BaseRepresentation
bin1001110010110000…
…1101011010000110
320210012121122121102
42130230031122012
520340440204300
61112505020102
7122100504560
oct23454153206
96705548542
102628834950
1111299aa675
12614484632
1332b82a851
141ad1ca330
15105bc90d5
hex9cb0d686

2628834950 has 96 divisors (see below), whose sum is σ = 5951994048. Its totient is φ = 843264000.

The previous prime is 2628834947. The next prime is 2628834977. The reversal of 2628834950 is 594388262.

It is a junction number, because it is equal to n+sod(n) for n = 2628834895 and 2628834904.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1075730 + ... + 1078170.

It is an arithmetic number, because the mean of its divisors is an integer number (61999938).

Almost surely, 22628834950 is an apocalyptic number.

2628834950 is an abundant number, since it is smaller than the sum of its proper divisors (3323159098).

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

2628834950 is a wasteful number, since it uses less digits than its factorization.

2628834950 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2658 (or 2653 counting only the distinct ones).

The product of its (nonzero) digits is 829440, while the sum is 47.

The square root of 2628834950 is about 51272.1654506614. The cubic root of 2628834950 is about 1380.1335287023.

The spelling of 2628834950 in words is "two billion, six hundred twenty-eight million, eight hundred thirty-four thousand, nine hundred fifty".

Divisors: 1 2 5 7 10 14 17 25 34 35 50 70 85 119 170 175 181 238 350 362 425 595 850 905 1190 1267 1810 2441 2534 2975 3077 4525 4882 5950 6154 6335 9050 12205 12670 15385 17087 21539 24410 30770 31675 34174 41497 43078 61025 63350 76925 82994 85435 107695 122050 153850 170870 207485 215390 290479 414970 427175 441821 538475 580958 854350 883642 1037425 1076950 1452395 2074850 2209105 2904790 3092747 4418210 6185494 7261975 7510957 11045525 14523950 15021914 15463735 22091050 30927470 37554785 52576699 75109570 77318675 105153398 154637350 187773925 262883495 375547850 525766990 1314417475 2628834950