[go: up one dir, main page]

Search a number
-
+
1109419248 = 243737233383
BaseRepresentation
bin100001000100000…
…0110010011110000
32212022120100002210
41002020012103300
54233002403443
6302030412120
736330623310
oct10210062360
92768510083
101109419248
1151a269113
1226b661040
13148acb0c2
14a74b1440
15675e6c33
hex422064f0

1109419248 has 160 divisors (see below), whose sum is σ = 3387211776. Its totient is φ = 306284544.

The previous prime is 1109419231. The next prime is 1109419301. The reversal of 1109419248 is 8429149011.

It is a super-2 number, since 2×11094192482 = 2461622135665771008, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2896465 + ... + 2896847.

Almost surely, 21109419248 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 1109419248, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1693605888).

1109419248 is an abundant number, since it is smaller than the sum of its proper divisors (2277792528).

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

1109419248 is a wasteful number, since it uses less digits than its factorization.

1109419248 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 671 (or 665 counting only the distinct ones).

The product of its (nonzero) digits is 20736, while the sum is 39.

The square root of 1109419248 is about 33307.9457187020. The cubic root of 1109419248 is about 1035.2182003956.

The spelling of 1109419248 in words is "one billion, one hundred nine million, four hundred nineteen thousand, two hundred forty-eight".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 37 42 48 56 74 84 111 112 148 168 222 233 259 296 336 383 444 466 518 592 699 766 777 888 932 1036 1149 1398 1532 1554 1631 1776 1864 2072 2298 2681 2796 3064 3108 3262 3728 4144 4596 4893 5362 5592 6128 6216 6524 8043 8621 9192 9786 10724 11184 12432 13048 14171 16086 17242 18384 19572 21448 25863 26096 28342 32172 34484 39144 42513 42896 51726 56684 60347 64344 68968 78288 85026 89239 99197 103452 113368 120694 128688 137936 170052 178478 181041 198394 206904 226736 241388 267717 297591 340104 356956 362082 396788 413808 482776 535434 595182 624673 680208 713912 724164 793576 965552 1070868 1190364 1249346 1427824 1448328 1587152 1874019 2141736 2380728 2498692 2896656 3301843 3748038 4283472 4761456 4997384 6603686 7496076 9905529 9994768 13207372 14992152 19811058 23112901 26414744 29984304 39622116 46225802 52829488 69338703 79244232 92451604 138677406 158488464 184903208 277354812 369806416 554709624 1109419248