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645556050 = 232521937433
BaseRepresentation
bin100110011110100…
…110011101010010
31122222201122102100
4212132212131102
52310230243200
6144020301230
721666064416
oct4636463522
91588648370
10645556050
113014438a7
12160241816
13a3989339
1461a44d46
153ba1ad00
hex267a6752

645556050 has 72 divisors (see below), whose sum is σ = 1743614964. Its totient is φ = 171233280.

The previous prime is 645556039. The next prime is 645556061. The reversal of 645556050 is 50655546.

It is a happy number.

645556050 is a `hidden beast` number, since 6 + 45 + 5 + 5 + 605 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (645556039) and next prime (645556061).

It can be written as a sum of positive squares in 6 ways, for example, as 36108081 + 609447969 = 6009^2 + 24687^2 .

It is a super-2 number, since 2×6455560502 = 833485227383205000, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 645555996 and 645556014.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 83134 + ... + 90566.

Almost surely, 2645556050 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 645556050, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (871807482).

645556050 is an abundant number, since it is smaller than the sum of its proper divisors (1098058914).

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

645556050 is a wasteful number, since it uses less digits than its factorization.

645556050 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7644 (or 7636 counting only the distinct ones).

The product of its (nonzero) digits is 90000, while the sum is 36.

The square root of 645556050 is about 25407.7950637201. The cubic root of 645556050 is about 864.2604747704.

The spelling of 645556050 in words is "six hundred forty-five million, five hundred fifty-six thousand, fifty".

Divisors: 1 2 3 5 6 9 10 15 18 25 30 45 50 75 90 150 193 225 386 450 579 965 1158 1737 1930 2895 3474 4825 5790 7433 8685 9650 14475 14866 17370 22299 28950 37165 43425 44598 66897 74330 86850 111495 133794 185825 222990 334485 371650 557475 668970 1114950 1434569 1672425 2869138 3344850 4303707 7172845 8607414 12911121 14345690 21518535 25822242 35864225 43037070 64555605 71728450 107592675 129111210 215185350 322778025 645556050