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4912994400 = 253522970589
BaseRepresentation
bin1001001001101011…
…00101100001100000
3110200101122222022120
410210311211201200
540030211310100
62131302304240
7232514522556
oct44465454140
913611588276
104912994400
1120a1291456
12b51428080
13603b178a2
143486d3bd6
151db4bc0a0
hex124d65860

4912994400 has 144 divisors (see below), whose sum is σ = 16543472400. Its totient is φ = 1264936960.

The previous prime is 4912994393. The next prime is 4912994413. The reversal of 4912994400 is 44992194.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 34306 + ... + 104894.

It is an arithmetic number, because the mean of its divisors is an integer number (114885225).

Almost surely, 24912994400 is an apocalyptic number.

4912994400 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 4912994400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8271736200).

4912994400 is an abundant number, since it is smaller than the sum of its proper divisors (11630478000).

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

4912994400 is a wasteful number, since it uses less digits than its factorization.

4912994400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 70641 (or 70628 counting only the distinct ones).

The product of its (nonzero) digits is 93312, while the sum is 42.

The square root of 4912994400 is about 70092.7556884447. The cubic root of 4912994400 is about 1699.9993540943. Note that the first 3 decimals are identical.

The spelling of 4912994400 in words is "four billion, nine hundred twelve million, nine hundred ninety-four thousand, four hundred".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 25 29 30 32 40 48 50 58 60 75 80 87 96 100 116 120 145 150 160 174 200 232 240 290 300 348 400 435 464 480 580 600 696 725 800 870 928 1160 1200 1392 1450 1740 2175 2320 2400 2784 2900 3480 4350 4640 5800 6960 8700 11600 13920 17400 23200 34800 69600 70589 141178 211767 282356 352945 423534 564712 705890 847068 1058835 1129424 1411780 1694136 1764725 2047081 2117670 2258848 2823560 3388272 3529450 4094162 4235340 5294175 5647120 6141243 6776544 7058900 8188324 8470680 10235405 10588350 11294240 12282486 14117800 16376648 16941360 20470810 21176700 24564972 28235600 30706215 32753296 33882720 40941620 42353400 49129944 51177025 56471200 61412430 65506592 81883240 84706800 98259888 102354050 122824860 153531075 163766480 169413600 196519776 204708100 245649720 307062150 327532960 409416200 491299440 614124300 818832400 982598880 1228248600 1637664800 2456497200 4912994400