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190475616 = 25317127919
BaseRepresentation
bin10110101101001…
…10110101100000
3111021102011102110
423112212311200
5342230204431
630522315320
74502005332
oct1326466540
9437364373
10190475616
1198578171
1253958b40
1330601086
141b423452
1511ac7346
hexb5a6d60

190475616 has 96 divisors (see below), whose sum is σ = 534159360. Its totient is φ = 59222016.

The previous prime is 190475609. The next prime is 190475629. The reversal of 190475616 is 616574091.

190475616 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (96).

It is a congruent number.

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, 206805 + ... + 207723.

It is an arithmetic number, because the mean of its divisors is an integer number (5564160).

Almost surely, 2190475616 is an apocalyptic number.

190475616 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 190475616, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (267079680).

190475616 is an abundant number, since it is smaller than the sum of its proper divisors (343683744).

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

190475616 is a wasteful number, since it uses less digits than its factorization.

190475616 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1076 (or 1068 counting only the distinct ones).

The product of its (nonzero) digits is 45360, while the sum is 39.

The square root of 190475616 is about 13801.2903744541. The cubic root of 190475616 is about 575.3690042260.

The spelling of 190475616 in words is "one hundred ninety million, four hundred seventy-five thousand, six hundred sixteen".

Divisors: 1 2 3 4 6 8 12 16 17 24 32 34 48 51 68 96 102 127 136 204 254 272 381 408 508 544 762 816 919 1016 1524 1632 1838 2032 2159 2757 3048 3676 4064 4318 5514 6096 6477 7352 8636 11028 12192 12954 14704 15623 17272 22056 25908 29408 31246 34544 44112 46869 51816 62492 69088 88224 93738 103632 116713 124984 187476 207264 233426 249968 350139 374952 466852 499936 700278 749904 933704 1400556 1499808 1867408 1984121 2801112 3734816 3968242 5602224 5952363 7936484 11204448 11904726 15872968 23809452 31745936 47618904 63491872 95237808 190475616