Search a number
-
+
190479438 = 2353147269
BaseRepresentation
bin10110101101001…
…11110001001110
3111021102100200000
423112213301032
5342230320223
630522345130
74502022432
oct1326476116
9437370600
10190479438
1198580026
125395b1a6
1330602a36
141b4249c2
1511ac8543
hexb5a7c4e

190479438 has 96 divisors (see below), whose sum is σ = 452874240. Its totient is φ = 59914080.

The previous prime is 190479437. The next prime is 190479451. The reversal of 190479438 is 834974091.

It is a junction number, because it is equal to n+sod(n) for n = 190479393 and 190479402.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (190479437) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 707968 + ... + 708236.

It is an arithmetic number, because the mean of its divisors is an integer number (4717440).

Almost surely, 2190479438 is an apocalyptic number.

190479438 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 190479438, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (226437120).

190479438 is an abundant number, since it is smaller than the sum of its proper divisors (262394802).

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

190479438 is a wasteful number, since it uses less digits than its factorization.

190479438 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 364 (or 352 counting only the distinct ones).

The product of its (nonzero) digits is 217728, while the sum is 45.

The square root of 190479438 is about 13801.4288390731. The cubic root of 190479438 is about 575.3728525674.

The spelling of 190479438 in words is "one hundred ninety million, four hundred seventy-nine thousand, four hundred thirty-eight".

Divisors: 1 2 3 6 9 18 27 31 47 54 62 81 93 94 141 162 186 243 269 279 282 423 486 538 558 807 837 846 1269 1457 1614 1674 2421 2511 2538 2914 3807 4371 4842 5022 7263 7533 7614 8339 8742 11421 12643 13113 14526 15066 16678 21789 22842 25017 25286 26226 37929 39339 43578 50034 65367 75051 75858 78678 113787 118017 130734 150102 225153 227574 236034 341361 354051 391933 450306 675459 682722 708102 783866 1024083 1175799 1350918 2026377 2048166 2351598 3072249 3527397 4052754 6144498 7054794 10582191 21164382 31746573 63493146 95239719 190479438