Search a number
-
+
32030743248 = 2433719557483
BaseRepresentation
bin11101110101001011…
…100101101011010000
310001200021111100102000
4131311023211223100
51011044332240443
622414213554000
72212515553050
oct356513455320
9101607440360
1032030743248
1112647579539
12625b045900
13303601481a
14179c027560
15c770608d3
hex7752e5ad0

32030743248 has 160 divisors (see below), whose sum is σ = 110604825600. Its totient is φ = 8669960064.

The previous prime is 32030743193. The next prime is 32030743249. The reversal of 32030743248 is 84234703023.

32030743248 is a `hidden beast` number, since 3 + 20 + 307 + 4 + 324 + 8 = 666.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (32030743249) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 221286 + ... + 336197.

It is an arithmetic number, because the mean of its divisors is an integer number (691280160).

Almost surely, 232030743248 is an apocalyptic number.

32030743248 is a gapful number since it is divisible by the number (38) formed by its first and last digit.

It is an amenable number.

32030743248 is an abundant number, since it is smaller than the sum of its proper divisors (78574082352).

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

32030743248 is a wasteful number, since it uses less digits than its factorization.

32030743248 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 557526 (or 557514 counting only the distinct ones).

The product of its (nonzero) digits is 96768, while the sum is 36.

The spelling of 32030743248 in words is "thirty-two billion, thirty million, seven hundred forty-three thousand, two hundred forty-eight".

Divisors: 1 2 3 4 6 7 8 9 12 14 16 18 19 21 24 27 28 36 38 42 48 54 56 57 63 72 76 84 108 112 114 126 133 144 152 168 171 189 216 228 252 266 304 336 342 378 399 432 456 504 513 532 684 756 798 912 1008 1026 1064 1197 1368 1512 1596 2052 2128 2394 2736 3024 3192 3591 4104 4788 6384 7182 8208 9576 14364 19152 28728 57456 557483 1114966 1672449 2229932 3344898 3902381 4459864 5017347 6689796 7804762 8919728 10034694 10592177 11707143 13379592 15052041 15609524 20069388 21184354 23414286 26759184 30104082 31219048 31776531 35121429 40138776 42368708 46828572 60208164 62438096 63553062 70242858 74145239 80277552 84737416 93657144 95329593 105364287 120416328 127106124 140485716 148290478 169474832 187314288 190659186 210728574 222435717 240832656 254212248 280971432 285988779 296580956 381318372 421457148 444871434 508424496 561942864 571977558 593161912 667307151 762636744 842914296 889742868 1143955116 1186323824 1334614302 1525273488 1685828592 1779485736 2001921453 2287910232 2669228604 3558971472 4003842906 4575820464 5338457208 8007685812 10676914416 16015371624 32030743248