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76041216 = 2103237223
BaseRepresentation
bin1001000100001…
…00110000000000
312022002021221100
410202010300000
5123431304331
611313454400
71612224336
oct442046000
9168067840
1076041216
1139a17989
1221571400
13129a5504
14a155b56
156a20ae6
hex4884c00

76041216 has 132 divisors (see below), whose sum is σ = 226512832. Its totient is φ = 24551424.

The previous prime is 76041193. The next prime is 76041241. The reversal of 76041216 is 61214067.

It is a self number, because there is not a number n which added to its sum of digits gives 76041216.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 340881 + ... + 341103.

Almost surely, 276041216 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 76041216, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (113256416).

76041216 is an abundant number, since it is smaller than the sum of its proper divisors (150471616).

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

76041216 is a wasteful number, since it uses less digits than its factorization.

76041216 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 286 (or 265 counting only the distinct ones).

The product of its (nonzero) digits is 2016, while the sum is 27.

The square root of 76041216 is about 8720.1614663950. The cubic root of 76041216 is about 423.6589163880.

The spelling of 76041216 in words is "seventy-six million, forty-one thousand, two hundred sixteen".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 37 48 64 72 74 96 111 128 144 148 192 222 223 256 288 296 333 384 444 446 512 576 592 666 669 768 888 892 1024 1152 1184 1332 1338 1536 1776 1784 2007 2304 2368 2664 2676 3072 3552 3568 4014 4608 4736 5328 5352 7104 7136 8028 8251 9216 9472 10656 10704 14208 14272 16056 16502 18944 21312 21408 24753 28416 28544 32112 33004 37888 42624 42816 49506 56832 57088 64224 66008 74259 85248 85632 99012 113664 114176 128448 132016 148518 170496 171264 198024 228352 256896 264032 297036 340992 342528 396048 513792 528064 594072 685056 792096 1027584 1056128 1188144 1584192 2055168 2112256 2376288 3168384 4224512 4752576 6336768 8449024 9505152 12673536 19010304 25347072 38020608 76041216