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190466976 = 25373141223
BaseRepresentation
bin10110101101001…
…00101110100000
3111021101201120110
423112210232200
5342224420401
630522211320
74501641210
oct1326445640
9437351513
10190466976
1198571727
1253953b40
13305ca16b
141b420240
1511ac49d6
hexb5a4ba0

190466976 has 192 divisors, whose sum is σ = 606928896. Its totient is φ = 51148800.

The previous prime is 190466951. The next prime is 190466981. The reversal of 190466976 is 679664091.

It is a Harshad number since it is a multiple of its sum of digits (48).

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 31 ways as a sum of consecutive naturals, for example, 854001 + ... + 854223.

It is an arithmetic number, because the mean of its divisors is an integer number (3161088).

Almost surely, 2190466976 is an apocalyptic number.

190466976 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 190466976, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (303464448).

190466976 is an abundant number, since it is smaller than the sum of its proper divisors (416461920).

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

190466976 is a wasteful number, since it uses less digits than its factorization.

190466976 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 315 (or 307 counting only the distinct ones).

The product of its (nonzero) digits is 489888, while the sum is 48.

The square root of 190466976 is about 13800.9773566947. The cubic root of 190466976 is about 575.3603044889.

The spelling of 190466976 in words is "one hundred ninety million, four hundred sixty-six thousand, nine hundred seventy-six".