Search a number
-
+
4990298400 = 253252693097
BaseRepresentation
bin1001010010111000…
…11110100100100000
3110212210010102110200
410221130132210200
540210004022100
62143103225200
7234443556633
oct45134364440
913783112420
104990298400
11213099105a
12b732a8200
13616b42ab9
14354a97c1a
151e318be00
hex12971e920

4990298400 has 108 divisors (see below), whose sum is σ = 17597065122. Its totient is φ = 1330744320.

The previous prime is 4990298387. The next prime is 4990298413. The reversal of 4990298400 is 48920994.

It is an interprime number because it is at equal distance from previous prime (4990298387) and next prime (4990298413).

It can be written as a sum of positive squares in 3 ways, for example, as 3123021456 + 1867276944 = 55884^2 + 43212^2 .

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 339349 + ... + 353748.

Almost surely, 24990298400 is an apocalyptic number.

4990298400 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

4990298400 is an abundant number, since it is smaller than the sum of its proper divisors (12606766722).

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

4990298400 is a wasteful number, since it uses less digits than its factorization.

4990298400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 693123 (or 693107 counting only the distinct ones).

The product of its (nonzero) digits is 186624, while the sum is 45.

The square root of 4990298400 is about 70642.0441380344. The cubic root of 4990298400 is about 1708.8692637518.

The spelling of 4990298400 in words is "four billion, nine hundred ninety million, two hundred ninety-eight thousand, four hundred".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 25 30 32 36 40 45 48 50 60 72 75 80 90 96 100 120 144 150 160 180 200 225 240 288 300 360 400 450 480 600 720 800 900 1200 1440 1800 2400 3600 7200 693097 1386194 2079291 2772388 3465485 4158582 5544776 6237873 6930970 8317164 10396455 11089552 12475746 13861940 16634328 17327425 20792910 22179104 24951492 27723880 31189365 33268656 34654850 41585820 49902984 51982275 55447760 62378730 66537312 69309700 83171640 99805968 103964550 110895520 124757460 138619400 155946825 166343280 199611936 207929100 249514920 277238800 311893650 332686560 415858200 499029840 554477600 623787300 831716400 998059680 1247574600 1663432800 2495149200 4990298400