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166083552 = 25322325073
BaseRepresentation
bin10011110011000…
…11101111100000
3102120111220210200
421321203233200
5320004133202
624251425200
74054454415
oct1171435740
9376456720
10166083552
1185828038
1247755200
13285407bb
14180b410c
15e8a9e1c
hex9e63be0

166083552 has 72 divisors (see below), whose sum is σ = 492854544. Its totient is φ = 52952064.

The previous prime is 166083527. The next prime is 166083563. The reversal of 166083552 is 255380661.

166083552 is a `hidden beast` number, since 16 + 608 + 35 + 5 + 2 = 666.

166083552 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (72).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 5913 + ... + 19160.

It is an arithmetic number, because the mean of its divisors is an integer number (6845202).

Almost surely, 2166083552 is an apocalyptic number.

166083552 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

166083552 is an abundant number, since it is smaller than the sum of its proper divisors (326770992).

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

166083552 is a wasteful number, since it uses less digits than its factorization.

166083552 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 25112 (or 25101 counting only the distinct ones).

The product of its (nonzero) digits is 43200, while the sum is 36.

The square root of 166083552 is about 12887.3407652626. The cubic root of 166083552 is about 549.6786574683.

The spelling of 166083552 in words is "one hundred sixty-six million, eighty-three thousand, five hundred fifty-two".

Divisors: 1 2 3 4 6 8 9 12 16 18 23 24 32 36 46 48 69 72 92 96 138 144 184 207 276 288 368 414 552 736 828 1104 1656 2208 3312 6624 25073 50146 75219 100292 150438 200584 225657 300876 401168 451314 576679 601752 802336 902628 1153358 1203504 1730037 1805256 2306716 2407008 3460074 3610512 4613432 5190111 6920148 7221024 9226864 10380222 13840296 18453728 20760444 27680592 41520888 55361184 83041776 166083552