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5149200 = 243527613
BaseRepresentation
bin10011101001001000010000
3100200121101010
4103221020100
52304233300
6302210520
761524150
oct23511020
910617333
105149200
1129a7741
121883a40
1310b3984
14980760
156baa50
hex4e9210

5149200 has 120 divisors (see below), whose sum is σ = 18881728. Its totient is φ = 1175040.

The previous prime is 5149189. The next prime is 5149219. The reversal of 5149200 is 29415.

It is a tau number, because it is divible by the number of its divisors (120).

It is a Harshad number since it is a multiple of its sum of digits (21).

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, 8094 + ... + 8706.

Almost surely, 25149200 is an apocalyptic number.

5149200 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 5149200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9440864).

5149200 is an abundant number, since it is smaller than the sum of its proper divisors (13732528).

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

5149200 is a wasteful number, since it uses less digits than its factorization.

5149200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 641 (or 630 counting only the distinct ones).

The product of its (nonzero) digits is 360, while the sum is 21.

The square root of 5149200 is about 2269.1848756767. The cubic root of 5149200 is about 172.6818078946.

The spelling of 5149200 in words is "five million, one hundred forty-nine thousand, two hundred".

Divisors: 1 2 3 4 5 6 7 8 10 12 14 15 16 20 21 24 25 28 30 35 40 42 48 50 56 60 70 75 80 84 100 105 112 120 140 150 168 175 200 210 240 280 300 336 350 400 420 525 560 600 613 700 840 1050 1200 1226 1400 1680 1839 2100 2452 2800 3065 3678 4200 4291 4904 6130 7356 8400 8582 9195 9808 12260 12873 14712 15325 17164 18390 21455 24520 25746 29424 30650 34328 36780 42910 45975 49040 51492 61300 64365 68656 73560 85820 91950 102984 107275 122600 128730 147120 171640 183900 205968 214550 245200 257460 321825 343280 367800 429100 514920 643650 735600 858200 1029840 1287300 1716400 2574600 5149200