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3802942224 = 24365712
BaseRepresentation
bin1110001010101100…
…0100101100010000
3100211000220111000000
43202223010230100
530242023122344
61425210130000
7163145322054
oct34253045420
910730814000
103802942224
111681730864
128a1720900
13487b57693
142810d9c64
15173ceca69
hexe2ac4b10

3802942224 has 105 divisors (see below), whose sum is σ = 11066628279. Its totient is φ = 1265427360.

The previous prime is 3802942219. The next prime is 3802942237. The reversal of 3802942224 is 4222492083.

The square root of 3802942224 is 61668.

It is a perfect power (a square), and thus also a powerful number.

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 20 ways as a sum of consecutive naturals, for example, 6659859 + ... + 6660429.

Almost surely, 23802942224 is an apocalyptic number.

3802942224 is the 61668-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3802942224

3802942224 is an abundant number, since it is smaller than the sum of its proper divisors (7263686055).

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

3802942224 is an frugal number, since it uses more digits than its factorization.

3802942224 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1168 (or 576 counting only the distinct ones).

The product of its (nonzero) digits is 55296, while the sum is 36.

The cubic root of 3802942224 is about 1560.8933935918.

Multiplying 3802942224 by its sum of digits (36), we get a square (136905920064 = 3700082).

3802942224 divided by its sum of digits (36) gives a square (105637284 = 102782).

The spelling of 3802942224 in words is "three billion, eight hundred two million, nine hundred forty-two thousand, two hundred twenty-four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 36 48 54 72 81 108 144 162 216 243 324 432 486 571 648 729 972 1142 1296 1458 1713 1944 2284 2916 3426 3888 4568 5139 5832 6852 9136 10278 11664 13704 15417 20556 27408 30834 41112 46251 61668 82224 92502 123336 138753 185004 246672 277506 326041 370008 416259 555012 652082 740016 832518 978123 1110024 1304164 1665036 1956246 2220048 2608328 2934369 3330072 3912492 5216656 5868738 6660144 7824984 8803107 11737476 15649968 17606214 23474952 26409321 35212428 46949904 52818642 70424856 79227963 105637284 140849712 158455926 211274568 237683889 316911852 422549136 475367778 633823704 950735556 1267647408 1901471112 3802942224