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3415252000 = 2553853813
BaseRepresentation
bin1100101110010000…
…1001110000100000
322211000101202222211
43023210021300200
523443301031000
61322520411504
7150430106626
oct31344116040
98730352884
103415252000
1114a2903416
127b3916b94
13425736094
1424581b516
1514ec6b7ba
hexcb909c20

3415252000 has 48 divisors (see below), whose sum is σ = 8391283992. Its totient is φ = 1366099200.

The previous prime is 3415251979. The next prime is 3415252069. The reversal of 3415252000 is 2525143.

It can be written as a sum of positive squares in 4 ways, for example, as 1041223824 + 2374028176 = 32268^2 + 48724^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 422907 + ... + 430906.

Almost surely, 23415252000 is an apocalyptic number.

It is an amenable number.

3415252000 is an abundant number, since it is smaller than the sum of its proper divisors (4976031992).

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

3415252000 is an equidigital number, since it uses as much as digits as its factorization.

3415252000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 853838 (or 853820 counting only the distinct ones).

The product of its (nonzero) digits is 1200, while the sum is 22.

The square root of 3415252000 is about 58440.1574262082. The cubic root of 3415252000 is about 1505.9397081259.

Adding to 3415252000 its reverse (2525143), we get a palindrome (3417777143).

The spelling of 3415252000 in words is "three billion, four hundred fifteen million, two hundred fifty-two thousand".

Divisors: 1 2 4 5 8 10 16 20 25 32 40 50 80 100 125 160 200 250 400 500 800 1000 2000 4000 853813 1707626 3415252 4269065 6830504 8538130 13661008 17076260 21345325 27322016 34152520 42690650 68305040 85381300 106726625 136610080 170762600 213453250 341525200 426906500 683050400 853813000 1707626000 3415252000