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102252348 = 223311176183
BaseRepresentation
bin1100001100000…
…11111100111100
321010101221212000
412012003330330
5202134033343
614051342300
72351062542
oct606037474
9233357760
10102252348
115279a780
122a2b1990
1318251a63
14d819d92
158e9bed3
hex6183f3c

102252348 has 192 divisors, whose sum is σ = 314979840. Its totient is φ = 28339200.

The previous prime is 102252343. The next prime is 102252361. The reversal of 102252348 is 843252201.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a zygodrome in base 2.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (102252343) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1231915 + ... + 1231997.

It is an arithmetic number, because the mean of its divisors is an integer number (1640520).

Almost surely, 2102252348 is an apocalyptic number.

102252348 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 102252348, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (157489920).

102252348 is an abundant number, since it is smaller than the sum of its proper divisors (212727492).

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

102252348 is a wasteful number, since it uses less digits than its factorization.

102252348 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 185 (or 177 counting only the distinct ones).

The product of its (nonzero) digits is 3840, while the sum is 27.

The square root of 102252348 is about 10111.9903085397. The cubic root of 102252348 is about 467.6178668939.

The spelling of 102252348 in words is "one hundred two million, two hundred fifty-two thousand, three hundred forty-eight".