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190000048 = 247389389
BaseRepresentation
bin10110101001100…
…10101110110000
3111020112000001211
423110302232300
5342120000143
630504205504
74464655000
oct1324625660
9436460054
10190000048
1198282937
1253769894
1330495784
141b33c000
1511a3149d
hexb532bb0

190000048 has 80 divisors (see below), whose sum is σ = 435240000. Its totient is φ = 80306688.

The previous prime is 190000043. The next prime is 190000061. The reversal of 190000048 is 840000091.

190000048 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×1900000482 = 72200036480004608, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 189999983 and 190000028.

It is not an unprimeable number, because it can be changed into a prime (190000043) 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, 488238 + ... + 488626.

It is an arithmetic number, because the mean of its divisors is an integer number (5440500).

Almost surely, 2190000048 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 190000048, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (217620000).

190000048 is an abundant number, since it is smaller than the sum of its proper divisors (245239952).

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

190000048 is an equidigital number, since it uses as much as digits as its factorization.

190000048 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 507 (or 487 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 22.

The square root of 190000048 is about 13784.0504932331. The cubic root of 190000048 is about 574.8897563062.

The spelling of 190000048 in words is "one hundred ninety million, forty-eight", and thus it is an aban number.

Divisors: 1 2 4 7 8 14 16 28 49 56 89 98 112 178 196 343 356 389 392 623 686 712 778 784 1246 1372 1424 1556 2492 2723 2744 3112 4361 4984 5446 5488 6224 8722 9968 10892 17444 19061 21784 30527 34621 34888 38122 43568 61054 69242 69776 76244 122108 133427 138484 152488 242347 244216 266854 276968 304976 484694 488432 533708 553936 969388 1067416 1696429 1938776 2134832 3392858 3877552 6785716 11875003 13571432 23750006 27142864 47500012 95000024 190000048