Search a number
-
+
1830923752 = 237192696397
BaseRepresentation
bin110110100100001…
…1010110111101000
311201121012120012211
41231020122313220
512222204030002
6501403014504
763241411060
oct15510326750
94647176184
101830923752
1185a566129
1243120a434
13232429648
141352463a0
15aab15dd7
hex6d21ade8

1830923752 has 64 divisors (see below), whose sum is σ = 4145904000. Its totient is φ = 740503296.

The previous prime is 1830923719. The next prime is 1830923761. The reversal of 1830923752 is 2573290381.

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, 283018 + ... + 289414.

It is an arithmetic number, because the mean of its divisors is an integer number (64779750).

Almost surely, 21830923752 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 1830923752, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2072952000).

1830923752 is an abundant number, since it is smaller than the sum of its proper divisors (2314980248).

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

1830923752 is a wasteful number, since it uses less digits than its factorization.

1830923752 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6698 (or 6694 counting only the distinct ones).

The product of its (nonzero) digits is 90720, while the sum is 40.

The square root of 1830923752 is about 42789.2948294313. The cubic root of 1830923752 is about 1223.3669762015.

The spelling of 1830923752 in words is "one billion, eight hundred thirty million, nine hundred twenty-three thousand, seven hundred fifty-two".

Divisors: 1 2 4 7 8 14 19 28 38 56 76 133 152 266 269 532 538 1064 1076 1883 2152 3766 5111 6397 7532 10222 12794 15064 20444 25588 35777 40888 44779 51176 71554 89558 121543 143108 179116 243086 286216 358232 486172 850801 972344 1701602 1720793 3403204 3441586 6806408 6883172 12045551 13766344 24091102 32695067 48182204 65390134 96364408 130780268 228865469 261560536 457730938 915461876 1830923752