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4920481400 = 235243727787
BaseRepresentation
bin1001001010100100…
…01001011001111000
3110200220202100112212
410211102021121320
540034120401100
62132130554252
7232635254552
oct44522113170
913626670485
104920481400
1120a553555a
12b53a38988
13605539673
143496c24d2
151dbe9a635
hex125489678

4920481400 has 96 divisors (see below), whose sum is σ = 11737165440. Its totient is φ = 1917336960.

The previous prime is 4920481399. The next prime is 4920481421. The reversal of 4920481400 is 41840294.

It is a super-2 number, since 2×49204814002 = 48422274415491920000, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 6251807 + ... + 6252593.

It is an arithmetic number, because the mean of its divisors is an integer number (122262140).

Almost surely, 24920481400 is an apocalyptic number.

4920481400 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 4920481400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5868582720).

4920481400 is an abundant number, since it is smaller than the sum of its proper divisors (6816684040).

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

4920481400 is a wasteful number, since it uses less digits than its factorization.

4920481400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1573 (or 1564 counting only the distinct ones).

The product of its (nonzero) digits is 9216, while the sum is 32.

The square root of 4920481400 is about 70146.1431584089. The cubic root of 4920481400 is about 1700.8624689400.

The spelling of 4920481400 in words is "four billion, nine hundred twenty million, four hundred eighty-one thousand, four hundred".

Divisors: 1 2 4 5 8 10 20 25 40 43 50 86 100 172 200 215 344 430 727 787 860 1075 1454 1574 1720 2150 2908 3148 3635 3935 4300 5816 6296 7270 7870 8600 14540 15740 18175 19675 29080 31261 31480 33841 36350 39350 62522 67682 72700 78700 125044 135364 145400 156305 157400 169205 250088 270728 312610 338410 572149 625220 676820 781525 846025 1144298 1250440 1353640 1563050 1692050 2288596 2860745 3126100 3384100 4577192 5721490 6252200 6768200 11442980 14303725 22885960 24602407 28607450 49204814 57214900 98409628 114429800 123012035 196819256 246024070 492048140 615060175 984096280 1230120350 2460240700 4920481400