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1628500050 = 232522326841
BaseRepresentation
bin110000100010000…
…1111000001010010
311012111022101002200
41201010033001102
511313344000200
6425332224030
755233010362
oct14104170122
94174271080
101628500050
11766278211
1239546b016
131cc5040c8
141163d29a2
1597e7d800
hex6110f052

1628500050 has 108 divisors (see below), whose sum is σ = 4574403834. Its totient is φ = 415324800.

The previous prime is 1628500037. The next prime is 1628500061. The reversal of 1628500050 is 500058261.

It can be written as a sum of positive squares in 3 ways, for example, as 1383170481 + 245329569 = 37191^2 + 15663^2 .

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 1628499987 and 1628500023.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 53 ways as a sum of consecutive naturals, for example, 234630 + ... + 241470.

Almost surely, 21628500050 is an apocalyptic number.

1628500050 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 1628500050, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2287201917).

1628500050 is an abundant number, since it is smaller than the sum of its proper divisors (2945903784).

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

1628500050 is a wasteful number, since it uses less digits than its factorization.

1628500050 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6905 (or 6874 counting only the distinct ones).

The product of its (nonzero) digits is 2400, while the sum is 27.

The square root of 1628500050 is about 40354.6781674690. The cubic root of 1628500050 is about 1176.5108194894.

The spelling of 1628500050 in words is "one billion, six hundred twenty-eight million, five hundred thousand, fifty".

Divisors: 1 2 3 5 6 9 10 15 18 23 25 30 45 46 50 69 75 90 115 138 150 207 225 230 345 414 450 529 575 690 1035 1058 1150 1587 1725 2070 2645 3174 3450 4761 5175 5290 6841 7935 9522 10350 13225 13682 15870 20523 23805 26450 34205 39675 41046 47610 61569 68410 79350 102615 119025 123138 157343 171025 205230 238050 307845 314686 342050 472029 513075 615690 786715 944058 1026150 1416087 1539225 1573430 2360145 2832174 3078450 3618889 3933575 4720290 7080435 7237778 7867150 10856667 11800725 14160870 18094445 21713334 23601450 32570001 35402175 36188890 54283335 65140002 70804350 90472225 108566670 162850005 180944450 271416675 325700010 542833350 814250025 1628500050