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352876225 = 52132174
BaseRepresentation
bin10101000010000…
…111011011000001
3220120222222011211
4111002013123001
51210314014400
655003210121
711513253442
oct2502073301
9816888154
10352876225
1117120a149
129a216941
1358152400
1434c192c9
1520ea5dba
hex150876c1

352876225 has 45 divisors (see below), whose sum is σ = 503427693. Its totient is φ = 245256960.

The previous prime is 352876219. The next prime is 352876241. The reversal of 352876225 is 522678253.

The square root of 352876225 is 18785.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in 22 ways, for example, as 351675009 + 1201216 = 18753^2 + 1096^2 .

It is not a de Polignac number, because 352876225 - 29 = 352875713 is a prime.

It is a Duffinian number.

Its product of digits (201600) is a multiple of the sum of its prime divisors (35).

It is an unprimeable number.

It is a polite number, since it can be written in 44 ways as a sum of consecutive naturals, for example, 20757417 + ... + 20757433.

Almost surely, 2352876225 is an apocalyptic number.

352876225 is the 18785-th square number.

352876225 is the 9393-rd centered octagonal number.

It is an amenable number.

352876225 is a deficient number, since it is larger than the sum of its proper divisors (150551468).

352876225 is an frugal number, since it uses more digits than its factorization.

352876225 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 104 (or 35 counting only the distinct ones).

The product of its digits is 201600, while the sum is 40.

The cubic root of 352876225 is about 706.6550489319.

The spelling of 352876225 in words is "three hundred fifty-two million, eight hundred seventy-six thousand, two hundred twenty-five".

Divisors: 1 5 13 17 25 65 85 169 221 289 325 425 845 1105 1445 2873 3757 4225 4913 5525 7225 14365 18785 24565 48841 63869 71825 83521 93925 122825 244205 319345 417605 830297 1085773 1221025 1596725 2088025 4151485 5428865 14115049 20757425 27144325 70575245 352876225