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190474368 = 2737253191
BaseRepresentation
bin10110101101001…
…10100010000000
3111021102002201020
423112212202000
5342230134433
630522305440
74502001600
oct1326464200
9437362636
10190474368
1198577237
1253958280
1330600636
141b422c00
1511ac6cb3
hexb5a6880

190474368 has 192 divisors, whose sum is σ = 602795520. Its totient is φ = 53114880.

The previous prime is 190474343. The next prime is 190474381. The reversal of 190474368 is 863474091.

It is a tau number, because it is divible by the number of its divisors (192).

It is a Harshad number since it is a multiple of its sum of digits (42).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 997153 + ... + 997343.

It is an arithmetic number, because the mean of its divisors is an integer number (3139560).

Almost surely, 2190474368 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 190474368, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (301397760).

190474368 is an abundant number, since it is smaller than the sum of its proper divisors (412321152).

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

190474368 is a wasteful number, since it uses less digits than its factorization.

190474368 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 275 (or 256 counting only the distinct ones).

The product of its (nonzero) digits is 145152, while the sum is 42.

The square root of 190474368 is about 13801.2451612164. The cubic root of 190474368 is about 575.3677476135.

The spelling of 190474368 in words is "one hundred ninety million, four hundred seventy-four thousand, three hundred sixty-eight".