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4029164288 = 28172340253
BaseRepresentation
bin1111000000101000…
…0010101100000000
3101101210120202022222
43300022002230000
531222431224123
61503450550212
7201563221442
oct36012025400
911353522288
104029164288
1117883a3846
12945438368
134c29931a6
142a3186492
15188ad66c8
hexf0282b00

4029164288 has 72 divisors (see below), whose sum is σ = 8886151008. Its totient is φ = 1813594112.

The previous prime is 4029164267. The next prime is 4029164299. The reversal of 4029164288 is 8824619204.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 79970 + ... + 120222.

It is an arithmetic number, because the mean of its divisors is an integer number (123418764).

Almost surely, 24029164288 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 4029164288, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4443075504).

4029164288 is an abundant number, since it is smaller than the sum of its proper divisors (4856986720).

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

4029164288 is a wasteful number, since it uses less digits than its factorization.

4029164288 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 40309 (or 40295 counting only the distinct ones).

The product of its (nonzero) digits is 221184, while the sum is 44.

The square root of 4029164288 is about 63475.6984049802. The cubic root of 4029164288 is about 1591.2496653499.

The spelling of 4029164288 in words is "four billion, twenty-nine million, one hundred sixty-four thousand, two hundred eighty-eight".

Divisors: 1 2 4 8 16 17 23 32 34 46 64 68 92 128 136 184 256 272 368 391 544 736 782 1088 1472 1564 2176 2944 3128 4352 5888 6256 12512 25024 40253 50048 80506 100096 161012 322024 644048 684301 925819 1288096 1368602 1851638 2576192 2737204 3703276 5152384 5474408 7406552 10304768 10948816 14813104 15738923 21897632 29626208 31477846 43795264 59252416 62955692 87590528 118504832 125911384 175181056 237009664 251822768 503645536 1007291072 2014582144 4029164288