Search a number
-
+
1904440572 = 223517235011
BaseRepresentation
bin111000110000011…
…0111010011111100
311220201112121100000
41301200313103330
512400014044242
6512550434300
765123322606
oct16140672374
94821477300
101904440572
11898009431
12451962990
13244729b18
14140d02176
15b22d8a4c
hex718374fc

1904440572 has 144 divisors (see below), whose sum is σ = 5516888832. Its totient is φ = 571380480.

The previous prime is 1904440553. The next prime is 1904440621. The reversal of 1904440572 is 2750444091.

It is a happy number.

1904440572 is a `hidden beast` number, since 1 + 9 + 0 + 44 + 40 + 572 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 377547 + ... + 382557.

It is an arithmetic number, because the mean of its divisors is an integer number (38311728).

Almost surely, 21904440572 is an apocalyptic number.

1904440572 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1904440572, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2758444416).

1904440572 is an abundant number, since it is smaller than the sum of its proper divisors (3612448260).

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

1904440572 is a wasteful number, since it uses less digits than its factorization.

1904440572 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5070 (or 5056 counting only the distinct ones).

The product of its (nonzero) digits is 40320, while the sum is 36.

The square root of 1904440572 is about 43639.8965626638. The cubic root of 1904440572 is about 1239.5264780603.

The spelling of 1904440572 in words is "one billion, nine hundred four million, four hundred forty thousand, five hundred seventy-two".

Divisors: 1 2 3 4 6 9 12 17 18 23 27 34 36 46 51 54 68 69 81 92 102 108 138 153 162 204 207 243 276 306 324 391 414 459 486 612 621 782 828 918 972 1173 1242 1377 1564 1836 1863 2346 2484 2754 3519 3726 4131 4692 5011 5508 5589 7038 7452 8262 10022 10557 11178 14076 15033 16524 20044 21114 22356 30066 31671 42228 45099 60132 63342 85187 90198 95013 115253 126684 135297 170374 180396 190026 230506 255561 270594 340748 345759 380052 405891 461012 511122 541188 691518 766683 811782 1022244 1037277 1217673 1383036 1533366 1623564 1959301 2074554 2300049 2435346 3066732 3111831 3918602 4149108 4600098 4870692 5877903 6223662 6900147 7837204 9200196 9335493 11755806 12447324 13800294 17633709 18670986 20700441 23511612 27600588 28006479 35267418 37341972 41400882 52901127 56012958 70534836 82801764 105802254 112025916 158703381 211604508 317406762 476110143 634813524 952220286 1904440572