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102552252 = 223112573023
BaseRepresentation
bin1100001110011…
…01001010111100
321010222012020120
412013031022330
5202223133002
614102014540
72353452105
oct607151274
9233865216
10102552252
1152985030
122a417450
131832840a
14d8973ac
15900acbc
hex61cd2bc

102552252 has 48 divisors (see below), whose sum is σ = 262144512. Its totient is φ = 30945280.

The previous prime is 102552223. The next prime is 102552257. The reversal of 102552252 is 252255201.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (102552257) 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, 32413 + ... + 35435.

It is an arithmetic number, because the mean of its divisors is an integer number (5461344).

Almost surely, 2102552252 is an apocalyptic number.

102552252 is a gapful number since it is divisible by the number (12) 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 102552252, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (131072256).

102552252 is an abundant number, since it is smaller than the sum of its proper divisors (159592260).

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

102552252 is a wasteful number, since it uses less digits than its factorization.

102552252 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3298 (or 3296 counting only the distinct ones).

The product of its (nonzero) digits is 2000, while the sum is 24.

The square root of 102552252 is about 10126.8085792119. The cubic root of 102552252 is about 468.0745918070.

The spelling of 102552252 in words is "one hundred two million, five hundred fifty-two thousand, two hundred fifty-two".

Divisors: 1 2 3 4 6 11 12 22 33 44 66 132 257 514 771 1028 1542 2827 3023 3084 5654 6046 8481 9069 11308 12092 16962 18138 33253 33924 36276 66506 99759 133012 199518 399036 776911 1553822 2330733 3107644 4661466 8546021 9322932 17092042 25638063 34184084 51276126 102552252