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106446452 = 227171131979
BaseRepresentation
bin1100101100000…
…11111001110100
321102022001002012
412112003321310
5204222241302
614321303352
72431531340
oct626037164
9242261065
10106446452
11550a4882
122b794b58
131908ca88
14101cc620
159529a52
hex6583e74

106446452 has 48 divisors (see below), whose sum is σ = 227525760. Its totient is φ = 42534912.

The previous prime is 106446449. The next prime is 106446463. The reversal of 106446452 is 254644601.

It is a super-2 number, since 2×1064464522 = 22661694286776608, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 52799 + ... + 54777.

It is an arithmetic number, because the mean of its divisors is an integer number (4740120).

Almost surely, 2106446452 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 106446452, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (113762880).

106446452 is an abundant number, since it is smaller than the sum of its proper divisors (121079308).

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

106446452 is a wasteful number, since it uses less digits than its factorization.

106446452 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2120 (or 2118 counting only the distinct ones).

The product of its (nonzero) digits is 23040, while the sum is 32.

The square root of 106446452 is about 10317.2889849999. The cubic root of 106446452 is about 473.9258490474.

The spelling of 106446452 in words is "one hundred six million, four hundred forty-six thousand, four hundred fifty-two".

Divisors: 1 2 4 7 14 17 28 34 68 113 119 226 238 452 476 791 1582 1921 1979 3164 3842 3958 7684 7916 13447 13853 26894 27706 33643 53788 55412 67286 134572 223627 235501 447254 471002 894508 942004 1565389 3130778 3801659 6261556 7603318 15206636 26611613 53223226 106446452