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4498272768 = 29311224203
BaseRepresentation
bin1000011000001111…
…00011001000000000
3102121111021221012010
410030013203020000
533203024212033
62022205332520
7216320454603
oct41407431000
912544257163
104498272768
1119a9180a00
12a56567140
13568c20582
143095ba33a
151b4d9b863
hex10c1e3200

4498272768 has 120 divisors (see below), whose sum is σ = 13172688144. Its totient is φ = 1363056640.

The previous prime is 4498272767. The next prime is 4498272773. The reversal of 4498272768 is 8672728944.

It is a happy number.

It is not an unprimeable number, because it can be changed into a prime (4498272761) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 173755 + ... + 197957.

Almost surely, 24498272768 is an apocalyptic number.

4498272768 is a gapful number since it is divisible by the number (48) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4498272768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6586344072).

4498272768 is an abundant number, since it is smaller than the sum of its proper divisors (8674415376).

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

4498272768 is a wasteful number, since it uses less digits than its factorization.

4498272768 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 24246 (or 24219 counting only the distinct ones).

The product of its digits is 10838016, while the sum is 57.

The square root of 4498272768 is about 67069.1640621829. The cubic root of 4498272768 is about 1650.7523679938.

The spelling of 4498272768 in words is "four billion, four hundred ninety-eight million, two hundred seventy-two thousand, seven hundred sixty-eight".

Divisors: 1 2 3 4 6 8 11 12 16 22 24 32 33 44 48 64 66 88 96 121 128 132 176 192 242 256 264 352 363 384 484 512 528 704 726 768 968 1056 1408 1452 1536 1936 2112 2816 2904 3872 4224 5632 5808 7744 8448 11616 15488 16896 23232 24203 30976 46464 48406 61952 72609 92928 96812 145218 185856 193624 266233 290436 387248 532466 580872 774496 798699 1064932 1161744 1548992 1597398 2129864 2323488 2928563 3097984 3194796 4259728 4646976 5857126 6195968 6389592 8519456 8785689 9293952 11714252 12391936 12779184 17038912 17571378 18587904 23428504 25558368 34077824 35142756 37175808 46857008 51116736 68155648 70285512 93714016 102233472 136311296 140571024 187428032 204466944 281142048 374856064 408933888 562284096 749712128 1124568192 1499424256 2249136384 4498272768