Search a number
-
+
190415285956 = 22727124392
BaseRepresentation
bin1011000101010110100…
…0101010111011000100
3200012111100221202121101
42301111220222323010
511104432303122311
6223250420225444
716520445140200
oct2612550527304
9605440852541
10190415285956
1173833512725
1230aa183b284
1314c57695b4c
149305181b00
154e46c98ec1
hex2c55a2aec4

190415285956 has 81 divisors (see below), whose sum is σ = 394065245007. Its totient is φ = 80273889360.

The previous prime is 190415285953. The next prime is 190415285981. The reversal of 190415285956 is 659582514091.

The square root of 190415285956 is 436366.

It is a perfect power (a square), and thus also a powerful number.

It is a super-2 number, since 2×1904152859562 (a number of 23 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 190415285897 and 190415285906.

It is not an unprimeable number, because it can be changed into a prime (190415285953) by changing a digit.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 433747585 + ... + 433748023.

Almost surely, 2190415285956 is an apocalyptic number.

190415285956 is the 436366-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 190415285956

190415285956 is an abundant number, since it is smaller than the sum of its proper divisors (203649959051).

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

190415285956 is an frugal number, since it uses more digits than its factorization.

190415285956 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1038 (or 519 counting only the distinct ones).

The product of its (nonzero) digits is 3888000, while the sum is 55.

The spelling of 190415285956 in words is "one hundred ninety billion, four hundred fifteen million, two hundred eighty-five thousand, nine hundred fifty-six".

Divisors: 1 2 4 7 14 28 49 71 98 142 196 284 439 497 878 994 1756 1988 3073 3479 5041 6146 6958 10082 12292 13916 20164 21511 31169 35287 43022 62338 70574 86044 124676 141148 192721 218183 247009 385442 436366 494018 770884 872732 988036 1349047 1527281 2212999 2698094 3054562 4425998 5396188 6109124 8851996 9443329 13683191 15490993 18886658 27366382 30981986 37773316 54732764 61963972 95782337 108436951 191564674 216873902 383129348 433747804 670476359 971506561 1340952718 1943013122 2681905436 3886026244 6800545927 13601091854 27202183708 47603821489 95207642978 190415285956