Search a number
-
+
94205952 = 2113219269
BaseRepresentation
bin1011001110101…
…11100000000000
320120021011021100
411213113200000
5143104042302
613203054400
72222510631
oct547274000
9216234240
1094205952
11491a4365
1227671400
1316695489
14c723888
15840cd1c
hex59d7800

94205952 has 144 divisors (see below), whose sum is σ = 287469000. Its totient is φ = 29638656.

The previous prime is 94205941. The next prime is 94205957. The reversal of 94205952 is 25950249.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (144).

It is a super-2 number, since 2×942059522 = 17749522784452608, which contains 22 as substring.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (94205957) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 350074 + ... + 350342.

Almost surely, 294205952 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 94205952, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (143734500).

94205952 is an abundant number, since it is smaller than the sum of its proper divisors (193263048).

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

94205952 is a wasteful number, since it uses less digits than its factorization.

94205952 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 316 (or 293 counting only the distinct ones).

The product of its (nonzero) digits is 32400, while the sum is 36.

The square root of 94205952 is about 9705.9750669369. The cubic root of 94205952 is about 455.0154195153.

The spelling of 94205952 in words is "ninety-four million, two hundred five thousand, nine hundred fifty-two".

Divisors: 1 2 3 4 6 8 9 12 16 18 19 24 32 36 38 48 57 64 72 76 96 114 128 144 152 171 192 228 256 269 288 304 342 384 456 512 538 576 608 684 768 807 912 1024 1076 1152 1216 1368 1536 1614 1824 2048 2152 2304 2421 2432 2736 3072 3228 3648 4304 4608 4842 4864 5111 5472 6144 6456 7296 8608 9216 9684 9728 10222 10944 12912 14592 15333 17216 18432 19368 19456 20444 21888 25824 29184 30666 34432 38736 38912 40888 43776 45999 51648 58368 61332 68864 77472 81776 87552 91998 103296 116736 122664 137728 154944 163552 175104 183996 206592 245328 275456 309888 327104 350208 367992 413184 490656 550912 619776 654208 735984 826368 981312 1239552 1308416 1471968 1652736 1962624 2479104 2616832 2943936 3925248 4958208 5233664 5887872 7850496 10467328 11775744 15700992 23551488 31401984 47102976 94205952