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100000352 = 2529197547
BaseRepresentation
bin1011111010111…
…10001001100000
320222011112200202
411331132021200
5201100002402
613531204332
72322663134
oct575361140
9228145622
10100000352
11514a1821
12295a66a8
1317943a0a
14d3d13c4
158ba4b02
hex5f5e260

100000352 has 48 divisors (see below), whose sum is σ = 205072560. Its totient is φ = 47943168.

The previous prime is 100000279. The next prime is 100000357. The reversal of 100000352 is 253000001.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (100000357) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 182543 + ... + 183089.

It is an arithmetic number, because the mean of its divisors is an integer number (4272345).

Almost surely, 2100000352 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 100000352, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (102536280).

100000352 is an abundant number, since it is smaller than the sum of its proper divisors (105072208).

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

100000352 is a wasteful number, since it uses less digits than its factorization.

100000352 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 783 (or 775 counting only the distinct ones).

The product of its (nonzero) digits is 30, while the sum is 11.

The square root of 100000352 is about 10000.0175999845. The cubic root of 100000352 is about 464.1594279737.

Adding to 100000352 its reverse (253000001), we get a palindrome (353000353).

The spelling of 100000352 in words is "one hundred million, three hundred fifty-two", and thus it is an aban number.

Divisors: 1 2 4 8 16 29 32 58 116 197 232 394 464 547 788 928 1094 1576 2188 3152 4376 5713 6304 8752 11426 15863 17504 22852 31726 45704 63452 91408 107759 126904 182816 215518 253808 431036 507616 862072 1724144 3125011 3448288 6250022 12500044 25000088 50000176 100000352