Search a number
-
+
549990400 = 2125241131
BaseRepresentation
bin100000110010000…
…011000000000000
31102022220101222211
4200302003000000
52111244143100
6130324111504
716425561361
oct4062030000
91368811884
10549990400
11262500a23
12134235594
1389c3900b
1453089b68
15334401ba
hex20c83000

549990400 has 156 divisors (see below), whose sum is σ = 1407738024. Its totient is φ = 212992000.

The previous prime is 549990377. The next prime is 549990433. The reversal of 549990400 is 4099945.

It is a Harshad number since it is a multiple of its sum of digits (40).

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 4198335 + ... + 4198465.

Almost surely, 2549990400 is an apocalyptic number.

549990400 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 549990400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (703869012).

549990400 is an abundant number, since it is smaller than the sum of its proper divisors (857747624).

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

549990400 is a wasteful number, since it uses less digits than its factorization.

549990400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 206 (or 179 counting only the distinct ones).

The product of its (nonzero) digits is 58320, while the sum is 40.

The square root of 549990400 is about 23451.8741255363. The cubic root of 549990400 is about 819.3165036128.

The spelling of 549990400 in words is "five hundred forty-nine million, nine hundred ninety thousand, four hundred".

Divisors: 1 2 4 5 8 10 16 20 25 32 40 41 50 64 80 82 100 128 131 160 164 200 205 256 262 320 328 400 410 512 524 640 655 656 800 820 1024 1025 1048 1280 1310 1312 1600 1640 2048 2050 2096 2560 2620 2624 3200 3275 3280 4096 4100 4192 5120 5240 5248 5371 6400 6550 6560 8200 8384 10240 10480 10496 10742 12800 13100 13120 16400 16768 20480 20960 20992 21484 25600 26200 26240 26855 32800 33536 41920 41984 42968 51200 52400 52480 53710 65600 67072 83840 83968 85936 102400 104800 104960 107420 131200 134144 134275 167680 167936 171872 209600 209920 214840 262400 268288 268550 335360 343744 419200 419840 429680 524800 536576 537100 670720 687488 838400 839680 859360 1049600 1074200 1341440 1374976 1676800 1718720 2099200 2148400 2682880 2749952 3353600 3437440 4198400 4296800 5499904 6707200 6874880 8593600 10999808 13414400 13749760 17187200 21999616 27499520 34374400 54999040 68748800 109998080 137497600 274995200 549990400