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4491798272 = 28132473
BaseRepresentation
bin1000010111011101…
…10110011100000000
3102121001002222211222
410023232312130000
533144400021042
62021414454212
7216211440533
oct41356663400
912531088758
104491798272
1119a5559585
12a54364368
13567794600
143087b2a1a
151b451d2d2
hex10bbb6700

4491798272 has 108 divisors (see below), whose sum is σ = 9919859040. Its totient is φ = 2029028352.

The previous prime is 4491798263. The next prime is 4491798281. The reversal of 4491798272 is 2728971944.

It is a happy number.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

It is an interprime number because it is at equal distance from previous prime (4491798263) and next prime (4491798281).

It is a congruent number.

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, 95570153 + ... + 95570199.

Almost surely, 24491798272 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 4491798272, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4959929520).

4491798272 is an abundant number, since it is smaller than the sum of its proper divisors (5428060768).

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

4491798272 is an frugal number, since it uses more digits than its factorization.

4491798272 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 183 (or 62 counting only the distinct ones).

The product of its digits is 2032128, while the sum is 53.

The square root of 4491798272 is about 67020.8793735206. The cubic root of 4491798272 is about 1649.9599956019.

The spelling of 4491798272 in words is "four billion, four hundred ninety-one million, seven hundred ninety-eight thousand, two hundred seventy-two".

Divisors: 1 2 4 8 13 16 26 32 47 52 64 94 104 128 169 188 208 256 338 376 416 611 676 752 832 1222 1352 1504 1664 2209 2444 2704 3008 3328 4418 4888 5408 6016 7943 8836 9776 10816 12032 15886 17672 19552 21632 28717 31772 35344 39104 43264 57434 63544 70688 78208 103823 114868 127088 141376 156416 207646 229736 254176 282752 373321 415292 459472 508352 565504 746642 830584 918944 1016704 1349699 1493284 1661168 1837888 2033408 2699398 2986568 3322336 3675776 5398796 5973136 6644672 7351552 10797592 11946272 13289344 17546087 21595184 23892544 26578688 35092174 43190368 47785088 70184348 86380736 95570176 140368696 172761472 280737392 345522944 561474784 1122949568 2245899136 4491798272