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5474490900 = 22352192274231
BaseRepresentation
bin1010001100100111…
…00001101000010100
3112010112012221201020
411012103201220110
542202432202100
62303121201140
7252443255604
oct50623415024
915115187636
105474490900
11235a23104a
1210894901b0
13693251b38
1439d0d6c04
152209315a0
hex1464e1a14

5474490900 has 144 divisors (see below), whose sum is σ = 16750594560. Its totient is φ = 1376611200.

The previous prime is 5474490871. The next prime is 5474491021. The reversal of 5474490900 is 90944745.

It is a super-2 number, since 2×54744909002 = 59940101228365620000, which contains 22 as substring.

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 47 ways as a sum of consecutive naturals, for example, 1291785 + ... + 1296015.

Almost surely, 25474490900 is an apocalyptic number.

5474490900 is a gapful number since it is divisible by the number (50) 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 5474490900, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8375297280).

5474490900 is an abundant number, since it is smaller than the sum of its proper divisors (11276103660).

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

5474490900 is a wasteful number, since it uses less digits than its factorization.

5474490900 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4494 (or 4487 counting only the distinct ones).

The product of its (nonzero) digits is 181440, while the sum is 42.

The square root of 5474490900 is about 73989.8026757742. The cubic root of 5474490900 is about 1762.4409677930.

The spelling of 5474490900 in words is "five billion, four hundred seventy-four million, four hundred ninety thousand, nine hundred".

Divisors: 1 2 3 4 5 6 10 12 15 19 20 25 30 38 50 57 60 75 76 95 100 114 150 190 227 228 285 300 380 454 475 570 681 908 950 1135 1140 1362 1425 1900 2270 2724 2850 3405 4231 4313 4540 5675 5700 6810 8462 8626 11350 12693 12939 13620 16924 17025 17252 21155 21565 22700 25386 25878 34050 42310 43130 50772 51756 63465 64695 68100 80389 84620 86260 105775 107825 126930 129390 160778 211550 215650 241167 253860 258780 317325 321556 323475 401945 423100 431300 482334 634650 646950 803890 960437 964668 1205835 1269300 1293900 1607780 1920874 2009725 2411670 2881311 3841748 4019450 4802185 4823340 5762622 6029175 8038900 9604370 11525244 12058350 14406555 18248303 19208740 24010925 24116700 28813110 36496606 48021850 54744909 57626220 72032775 72993212 91241515 96043700 109489818 144065550 182483030 218979636 273724545 288131100 364966060 456207575 547449090 912415150 1094898180 1368622725 1824830300 2737245450 5474490900