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4492132480 = 275112922003
BaseRepresentation
bin1000010111100000…
…01000000010000000
3102121001201222022001
410023300020002000
533144441214410
62021425553344
7216214332103
oct41360100200
912531658261
104492132480
1119a5767690
12a544a5854
13567880774
1430885c73a
151b458733a
hex10bc08080

4492132480 has 128 divisors (see below), whose sum is σ = 12119803200. Its totient is φ = 1577103360.

The previous prime is 4492132457. The next prime is 4492132549. The reversal of 4492132480 is 842312944.

It is a tau number, because it is divible by the number of its divisors (128).

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 193159 + ... + 215161.

Almost surely, 24492132480 is an apocalyptic number.

4492132480 is a gapful number since it is divisible by the number (40) 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 4492132480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6059901600).

4492132480 is an abundant number, since it is smaller than the sum of its proper divisors (7627670720).

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

4492132480 is a wasteful number, since it uses less digits than its factorization.

4492132480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 22062 (or 22050 counting only the distinct ones).

The product of its (nonzero) digits is 55296, while the sum is 37.

The square root of 4492132480 is about 67023.3726396994. The cubic root of 4492132480 is about 1650.0009158244. Note that the first 3 decimals are identical.

The spelling of 4492132480 in words is "four billion, four hundred ninety-two million, one hundred thirty-two thousand, four hundred eighty".

Divisors: 1 2 4 5 8 10 11 16 20 22 29 32 40 44 55 58 64 80 88 110 116 128 145 160 176 220 232 290 319 320 352 440 464 580 638 640 704 880 928 1160 1276 1408 1595 1760 1856 2320 2552 3190 3520 3712 4640 5104 6380 7040 9280 10208 12760 18560 20416 22003 25520 40832 44006 51040 88012 102080 110015 176024 204160 220030 242033 352048 440060 484066 638087 704096 880120 968132 1210165 1276174 1408192 1760240 1936264 2420330 2552348 2816384 3190435 3520480 3872528 4840660 5104696 6380870 7018957 7040960 7745056 9681320 10209392 12761740 14037914 14081920 15490112 19362640 20418784 25523480 28075828 30980224 35094785 38725280 40837568 51046960 56151656 70189570 77450560 81675136 102093920 112303312 140379140 154901120 204187840 224606624 280758280 408375680 449213248 561516560 898426496 1123033120 2246066240 4492132480