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4730890752 = 2933748889
BaseRepresentation
bin1000110011111101…
…11010101000000000
3110012201000011002000
410121332322220000
534142102001002
62101235224000
7225143623260
oct43176725000
913181004060
104730890752
112008512275
12b00448000
135a5188353
1432c44d7a0
151ca4ea61c
hex119fbaa00

4730890752 has 160 divisors (see below), whose sum is σ = 16004630400. Its totient is φ = 1351655424.

The previous prime is 4730890711. The next prime is 4730890763. The reversal of 4730890752 is 2570980374.

It is a junction number, because it is equal to n+sod(n) for n = 4730890698 and 4730890707.

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, 72324 + ... + 121212.

It is an arithmetic number, because the mean of its divisors is an integer number (100028940).

Almost surely, 24730890752 is an apocalyptic number.

4730890752 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 4730890752, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8002315200).

4730890752 is an abundant number, since it is smaller than the sum of its proper divisors (11273739648).

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

4730890752 is an equidigital number, since it uses as much as digits as its factorization.

4730890752 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 48923 (or 48901 counting only the distinct ones).

The product of its (nonzero) digits is 423360, while the sum is 45.

The square root of 4730890752 is about 68781.4709932842. The cubic root of 4730890752 is about 1678.7304694632.

The spelling of 4730890752 in words is "four billion, seven hundred thirty million, eight hundred ninety thousand, seven 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 96 108 112 126 128 144 168 189 192 216 224 252 256 288 336 378 384 432 448 504 512 576 672 756 768 864 896 1008 1152 1344 1512 1536 1728 1792 2016 2304 2688 3024 3456 3584 4032 4608 5376 6048 6912 8064 10752 12096 13824 16128 24192 32256 48384 48889 96768 97778 146667 195556 293334 342223 391112 440001 586668 684446 782224 880002 1026669 1173336 1320003 1368892 1564448 1760004 2053338 2346672 2640006 2737784 3080007 3128896 3520008 4106676 4693344 5280012 5475568 6160014 6257792 7040016 8213352 9240021 9386688 10560024 10951136 12320028 12515584 14080032 16426704 18480042 18773376 21120048 21902272 24640056 25031168 28160064 32853408 36960084 37546752 42240096 43804544 49280112 56320128 65706816 73920168 75093504 84480192 87609088 98560224 112640256 131413632 147840336 168960384 175218176 197120448 225280512 262827264 295680672 337920768 394240896 525654528 591361344 675841536 788481792 1182722688 1576963584 2365445376 4730890752