Search a number
-
+
550961400 = 233521127589
BaseRepresentation
bin100000110101110…
…000000011111000
31102101201201221210
4200311300003320
52112021231100
6130401003120
716440044313
oct4065600370
91371651853
10550961400
11263004500
121346234a0
138a1b8c82
145325d97a
1533582c50
hex20d700f8

550961400 has 144 divisors (see below), whose sum is σ = 1877614200. Its totient is φ = 133548800.

The previous prime is 550961393. The next prime is 550961407. The reversal of 550961400 is 4169055.

It is an interprime number because it is at equal distance from previous prime (550961393) and next prime (550961407).

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (550961407) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 68806 + ... + 76394.

Almost surely, 2550961400 is an apocalyptic number.

550961400 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 550961400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (938807100).

550961400 is an abundant number, since it is smaller than the sum of its proper divisors (1326652800).

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

550961400 is a wasteful number, since it uses less digits than its factorization.

550961400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7630 (or 7610 counting only the distinct ones).

The product of its (nonzero) digits is 5400, while the sum is 30.

The square root of 550961400 is about 23472.5669665676. The cubic root of 550961400 is about 819.7983839042.

The spelling of 550961400 in words is "five hundred fifty million, nine hundred sixty-one thousand, four hundred".

Divisors: 1 2 3 4 5 6 8 10 11 12 15 20 22 24 25 30 33 40 44 50 55 60 66 75 88 100 110 120 121 132 150 165 200 220 242 264 275 300 330 363 440 484 550 600 605 660 726 825 968 1100 1210 1320 1452 1650 1815 2200 2420 2904 3025 3300 3630 4840 6050 6600 7260 7589 9075 12100 14520 15178 18150 22767 24200 30356 36300 37945 45534 60712 72600 75890 83479 91068 113835 151780 166958 182136 189725 227670 250437 303560 333916 379450 417395 455340 500874 569175 667832 758900 834790 910680 918269 1001748 1138350 1252185 1517800 1669580 1836538 2003496 2086975 2276700 2504370 2754807 3339160 3673076 4173950 4553400 4591345 5008740 5509614 6260925 7346152 8347900 9182690 10017480 11019228 12521850 13774035 16695800 18365380 22038456 22956725 25043700 27548070 36730760 45913450 50087400 55096140 68870175 91826900 110192280 137740350 183653800 275480700 550961400