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2493953300 = 2252191797333
BaseRepresentation
bin1001010010100110…
…1011010100010100
320102210210221202202
42110221223110110
520101423001200
61051250024032
7115542152606
oct22451532424
96383727682
102493953300
11106a854033
12597278018
133098c3117
14199319176
15e8e341d5
hex94a6b514

2493953300 has 72 divisors (see below), whose sum is σ = 5729320800. Its totient is φ = 939669120.

The previous prime is 2493953237. The next prime is 2493953309. The reversal of 2493953300 is 33593942.

It is a Harshad number since it is a multiple of its sum of digits (38).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2493953309) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 336434 + ... + 343766.

It is an arithmetic number, because the mean of its divisors is an integer number (79573900).

Almost surely, 22493953300 is an apocalyptic number.

2493953300 is a gapful number since it is divisible by the number (20) 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 2493953300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2864660400).

2493953300 is an abundant number, since it is smaller than the sum of its proper divisors (3235367500).

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

2493953300 is a wasteful number, since it uses less digits than its factorization.

2493953300 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7545 (or 7538 counting only the distinct ones).

The product of its (nonzero) digits is 87480, while the sum is 38.

The square root of 2493953300 is about 49939.4963931356. The cubic root of 2493953300 is about 1356.1137069890.

The spelling of 2493953300 in words is "two billion, four hundred ninety-three million, nine hundred fifty-three thousand, three hundred".

Divisors: 1 2 4 5 10 19 20 25 38 50 76 95 100 179 190 358 380 475 716 895 950 1790 1900 3401 3580 4475 6802 7333 8950 13604 14666 17005 17900 29332 34010 36665 68020 73330 85025 139327 146660 170050 183325 278654 340100 366650 557308 696635 733300 1312607 1393270 2625214 2786540 3483175 5250428 6563035 6966350 13126070 13932700 24939533 26252140 32815175 49879066 65630350 99758132 124697665 131260700 249395330 498790660 623488325 1246976650 2493953300