Search a number
-
+
1921913448 = 2337133128387
BaseRepresentation
bin111001010001110…
…0001001001101000
311221221102022121120
41302203201021220
512414002212243
6514413135240
765424665130
oct16243411150
94857368546
101921913448
118a6963024
1245778a520
13248236bc0
1414336dac0
15b3adac83
hex728e1268

1921913448 has 128 divisors (see below), whose sum is σ = 6104555520. Its totient is φ = 490510080.

The previous prime is 1921913447. The next prime is 1921913453. The reversal of 1921913448 is 8443191291.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is not an unprimeable number, because it can be changed into a prime (1921913447) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 53511 + ... + 81897.

It is an arithmetic number, because the mean of its divisors is an integer number (47691840).

Almost surely, 21921913448 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 1921913448, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3052277760).

1921913448 is an abundant number, since it is smaller than the sum of its proper divisors (4182642072).

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

1921913448 is a wasteful number, since it uses less digits than its factorization.

1921913448 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 28447 (or 28443 counting only the distinct ones).

The product of its digits is 62208, while the sum is 42.

The square root of 1921913448 is about 43839.6333013861. The cubic root of 1921913448 is about 1243.3057491758.

The spelling of 1921913448 in words is "one billion, nine hundred twenty-one million, nine hundred thirteen thousand, four hundred forty-eight".

Divisors: 1 2 3 4 6 7 8 12 13 14 21 24 26 28 31 39 42 52 56 62 78 84 91 93 104 124 156 168 182 186 217 248 273 312 364 372 403 434 546 651 728 744 806 868 1092 1209 1302 1612 1736 2184 2418 2604 2821 3224 4836 5208 5642 8463 9672 11284 16926 22568 28387 33852 56774 67704 85161 113548 170322 198709 227096 340644 369031 397418 596127 681288 738062 794836 879997 1107093 1192254 1476124 1589672 1759994 2214186 2384508 2583217 2639991 2952248 3519988 4428372 4769016 5166434 5279982 6159979 7039976 7749651 8856744 10332868 10559964 11439961 12319958 15499302 18479937 20665736 21119928 22879922 24639916 30998604 34319883 36959874 45759844 49279832 61997208 68639766 73919748 80079727 91519688 137279532 147839496 160159454 240239181 274559064 320318908 480478362 640637816 960956724 1921913448