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4720004352 = 2833797553
BaseRepresentation
bin1000110010101010…
…11000110100000000
3110011221112001202000
410121111120310000
534131310114402
62100210024000
7224652242430
oct43125306400
913157461660
104720004352
112002357148
12ab8878000
135a2b461ab
1432ac182c0
151c9599c1c
hex119558d00

4720004352 has 144 divisors (see below), whose sum is σ = 15952030080. Its totient is φ = 1348558848.

The previous prime is 4720004351. The next prime is 4720004369. The reversal of 4720004352 is 2534000274.

It is a tau number, because it is divible by the number of its divisors (144).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4720004351) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 393 + ... + 97160.

Almost surely, 24720004352 is an apocalyptic number.

4720004352 is a gapful number since it is divisible by the number (42) 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 4720004352, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7976015040).

4720004352 is an abundant number, since it is smaller than the sum of its proper divisors (11232025728).

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

4720004352 is an equidigital number, since it uses as much as digits as its factorization.

4720004352 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 97585 (or 97565 counting only the distinct ones).

The product of its (nonzero) digits is 6720, while the sum is 27.

The square root of 4720004352 is about 68702.2878221679. The cubic root of 4720004352 is about 1677.4418208579.

The spelling of 4720004352 in words is "four billion, seven hundred twenty million, four thousand, three hundred fifty-two".

Divisors: 1 2 3 4 6 7 8 9 12 14 16 18 21 24 27 28 32 36 42 48 54 56 63 64 72 84 96 108 112 126 128 144 168 189 192 216 224 252 256 288 336 378 384 432 448 504 576 672 756 768 864 896 1008 1152 1344 1512 1728 1792 2016 2304 2688 3024 3456 4032 5376 6048 6912 8064 12096 16128 24192 48384 97553 195106 292659 390212 585318 682871 780424 877977 1170636 1365742 1560848 1755954 2048613 2341272 2633931 2731484 3121696 3511908 4097226 4682544 5267862 5462968 6145839 6243392 7023816 8194452 9365088 10535724 10925936 12291678 12486784 14047632 16388904 18437517 18730176 21071448 21851872 24583356 24973568 28095264 32777808 36875034 37460352 42142896 43703744 49166712 56190528 65555616 73750068 74920704 84285792 87407488 98333424 112381056 131111232 147500136 168571584 174814976 196666848 224762112 262222464 295000272 337143168 393333696 524444928 590000544 674286336 786667392 1180001088 1573334784 2360002176 4720004352