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4029734688 = 253723260723
BaseRepresentation
bin1111000000110000…
…1101111100100000
3101101211122201202220
43300030031330200
531223103002223
61503511111040
7201601115430
oct36014157440
911354581686
104029734688
111788753351
12945672480
134c2b329c5
142a32942c0
15188b9a6e3
hexf030df20

4029734688 has 96 divisors (see below), whose sum is σ = 12614870016. Its totient is φ = 1101289728.

The previous prime is 4029734669. The next prime is 4029734777. The reversal of 4029734688 is 8864379204.

It is a tau number, because it is divible by the number of its divisors (96).

It is a self number, because there is not a number n which added to its sum of digits gives 4029734688.

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, 114906 + ... + 145817.

It is an arithmetic number, because the mean of its divisors is an integer number (131404896).

Almost surely, 24029734688 is an apocalyptic number.

4029734688 is a gapful number since it is divisible by the number (48) formed by its first and last digit.

It is an amenable number.

4029734688 is an abundant number, since it is smaller than the sum of its proper divisors (8585135328).

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

4029734688 is a wasteful number, since it uses less digits than its factorization.

4029734688 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 260766 (or 260758 counting only the distinct ones).

The product of its (nonzero) digits is 2322432, while the sum is 51.

The square root of 4029734688 is about 63480.1913040596. The cubic root of 4029734688 is about 1591.3247517216.

The spelling of 4029734688 in words is "four billion, twenty-nine million, seven hundred thirty-four thousand, six hundred eighty-eight".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 23 24 28 32 42 46 48 56 69 84 92 96 112 138 161 168 184 224 276 322 336 368 483 552 644 672 736 966 1104 1288 1932 2208 2576 3864 5152 7728 15456 260723 521446 782169 1042892 1564338 1825061 2085784 3128676 3650122 4171568 5475183 5996629 6257352 7300244 8343136 10950366 11993258 12514704 14600488 17989887 21900732 23986516 25029408 29200976 35979774 41976403 43801464 47973032 58401952 71959548 83952806 87602928 95946064 125929209 143919096 167905612 175205856 191892128 251858418 287838192 335811224 503716836 575676384 671622448 1007433672 1343244896 2014867344 4029734688