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3575828040 = 233538976603
BaseRepresentation
bin1101010100100010…
…1100111001001000
3100020012112212220120
43111020230321020
524310402444130
61350454223240
7154420015431
oct32510547110
910205485816
103575828040
111575509594
12839654b20
1344ca98aa5
1425cc9a488
1515ddd9910
hexd522ce48

3575828040 has 64 divisors (see below), whose sum is σ = 10755201600. Its totient is φ = 951090432.

The previous prime is 3575828023. The next prime is 3575828041. The reversal of 3575828040 is 408285753.

It is a junction number, because it is equal to n+sod(n) for n = 3575827983 and 3575828001.

It is not an unprimeable number, because it can be changed into a prime (3575828041) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 8379 + ... + 84981.

It is an arithmetic number, because the mean of its divisors is an integer number (168050025).

Almost surely, 23575828040 is an apocalyptic number.

3575828040 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

3575828040 is an abundant number, since it is smaller than the sum of its proper divisors (7179373560).

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

3575828040 is a wasteful number, since it uses less digits than its factorization.

3575828040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 77006 (or 77002 counting only the distinct ones).

The product of its (nonzero) digits is 268800, while the sum is 42.

The square root of 3575828040 is about 59798.2277329354. The cubic root of 3575828040 is about 1529.1809362891.

The spelling of 3575828040 in words is "three billion, five hundred seventy-five million, eight hundred twenty-eight thousand, forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 30 40 60 120 389 778 1167 1556 1945 2334 3112 3890 4668 5835 7780 9336 11670 15560 23340 46680 76603 153206 229809 306412 383015 459618 612824 766030 919236 1149045 1532060 1838472 2298090 3064120 4596180 9192360 29798567 59597134 89395701 119194268 148992835 178791402 238388536 297985670 357582804 446978505 595971340 715165608 893957010 1191942680 1787914020 3575828040