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190413408 = 25331109587
BaseRepresentation
bin10110101100101…
…11101001100000
3111021022000002110
423112113221200
5342221212113
630521115320
74501326063
oct1326275140
9437260073
10190413408
1198535459
1253928b40
13305ab973
141b4088da
1511ab3bc3
hexb597a60

190413408 has 96 divisors (see below), whose sum is σ = 521579520. Its totient is φ = 60756480.

The previous prime is 190413407. The next prime is 190413467. The reversal of 190413408 is 804314091.

It is a happy number.

190413408 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 not an unprimeable number, because it can be changed into a prime (190413407) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 324091 + ... + 324677.

It is an arithmetic number, because the mean of its divisors is an integer number (5433120).

Almost surely, 2190413408 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 190413408, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (260789760).

190413408 is an abundant number, since it is smaller than the sum of its proper divisors (331166112).

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

190413408 is a wasteful number, since it uses less digits than its factorization.

190413408 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 740 (or 732 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 30.

The square root of 190413408 is about 13799.0364881031. The cubic root of 190413408 is about 575.3063602456.

Adding to 190413408 its reverse (804314091), we get a palindrome (994727499).

The spelling of 190413408 in words is "one hundred ninety million, four hundred thirteen thousand, four hundred eight".

Divisors: 1 2 3 4 6 8 12 16 24 31 32 48 62 93 96 109 124 186 218 248 327 372 436 496 587 654 744 872 992 1174 1308 1488 1744 1761 2348 2616 2976 3379 3488 3522 4696 5232 6758 7044 9392 10137 10464 13516 14088 18197 18784 20274 27032 28176 36394 40548 54064 54591 56352 63983 72788 81096 108128 109182 127966 145576 162192 191949 218364 255932 291152 324384 383898 436728 511864 582304 767796 873456 1023728 1535592 1746912 1983473 2047456 3071184 3966946 5950419 6142368 7933892 11900838 15867784 23801676 31735568 47603352 63471136 95206704 190413408