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14923944 = 2332729611
BaseRepresentation
bin111000111011…
…100010101000
31001002012210200
4320323202220
512310031234
61251512200
7240565020
oct70734250
931065720
1014923944
118473642
124bb8660
133126b49
141da6a80
15149bd99
hexe3b8a8

14923944 has 48 divisors (see below), whose sum is σ = 46194720. Its totient is φ = 4263840.

The previous prime is 14923933. The next prime is 14923999. The reversal of 14923944 is 44932941.

14923944 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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

It is a nude number because it is divisible by every one of its digits.

It is a junction number, because it is equal to n+sod(n) for n = 14923899 and 14923908.

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, 14302 + ... + 15309.

It is an arithmetic number, because the mean of its divisors is an integer number (962390).

Almost surely, 214923944 is an apocalyptic number.

14923944 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is an amenable number.

14923944 is an abundant number, since it is smaller than the sum of its proper divisors (31270776).

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

14923944 is a wasteful number, since it uses less digits than its factorization.

14923944 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 29630 (or 29623 counting only the distinct ones).

The product of its digits is 31104, while the sum is 36.

The square root of 14923944 is about 3863.1520808790. The cubic root of 14923944 is about 246.2036782325.

The spelling of 14923944 in words is "fourteen million, nine hundred twenty-three thousand, nine hundred forty-four".

Divisors: 1 2 3 4 6 7 8 9 12 14 18 21 24 28 36 42 56 63 72 84 126 168 252 504 29611 59222 88833 118444 177666 207277 236888 266499 355332 414554 532998 621831 710664 829108 1065996 1243662 1658216 1865493 2131992 2487324 3730986 4974648 7461972 14923944