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550146432 = 27311139937
BaseRepresentation
bin100000110010101…
…001000110000000
31102100012100000210
4200302221012000
52111314141212
6130331314120
716430111313
oct4062510600
91370170023
10550146432
112625a8180
121342ab940
1389c92044
14530ca97a
153347153c
hex20ca9180

550146432 has 128 divisors (see below), whose sum is σ = 1607356800. Its totient is φ = 165335040.

The previous prime is 550146431. The next prime is 550146437. The reversal of 550146432 is 234641055.

It is a tau number, because it is divible by the number of its divisors (128).

It is a super-2 number, since 2×5501464322 = 605322193284661248, which contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 550146432.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (550146431) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 586668 + ... + 587604.

It is an arithmetic number, because the mean of its divisors is an integer number (12557475).

Almost surely, 2550146432 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 550146432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (803678400).

550146432 is an abundant number, since it is smaller than the sum of its proper divisors (1057210368).

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

550146432 is a wasteful number, since it uses less digits than its factorization.

550146432 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1104 (or 1092 counting only the distinct ones).

The product of its (nonzero) digits is 14400, while the sum is 30.

The square root of 550146432 is about 23455.2005320782. The cubic root of 550146432 is about 819.3939761803.

Adding to 550146432 its reverse (234641055), we get a palindrome (784787487).

The spelling of 550146432 in words is "five hundred fifty million, one hundred forty-six thousand, four hundred thirty-two".

Divisors: 1 2 3 4 6 8 11 12 16 22 24 32 33 44 48 64 66 88 96 128 132 139 176 192 264 278 352 384 417 528 556 704 834 937 1056 1112 1408 1529 1668 1874 2112 2224 2811 3058 3336 3748 4224 4448 4587 5622 6116 6672 7496 8896 9174 10307 11244 12232 13344 14992 17792 18348 20614 22488 24464 26688 29984 30921 36696 41228 44976 48928 53376 59968 61842 73392 82456 89952 97856 119936 123684 130243 146784 164912 179904 195712 247368 260486 293568 329824 359808 390729 494736 520972 587136 659648 781458 989472 1041944 1319296 1432673 1562916 1978944 2083888 2865346 3125832 3957888 4167776 4298019 5730692 6251664 8335552 8596038 11461384 12503328 16671104 17192076 22922768 25006656 34384152 45845536 50013312 68768304 91691072 137536608 183382144 275073216 550146432