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552332144 = 2471329103127
BaseRepresentation
bin100000111010111…
…110101101110000
31102111022101021002
4200322332231300
52112344112034
6130450221132
716454513540
oct4072765560
91374271232
10552332144
11263860351
12134b847a8
138a578b70
14534d9320
1533753e7e
hex20ebeb70

552332144 has 160 divisors (see below), whose sum is σ = 1386577920. Its totient is φ = 207277056.

The previous prime is 552332101. The next prime is 552332149. The reversal of 552332144 is 441233255.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (29).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (552332149) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 4349009 + ... + 4349135.

It is an arithmetic number, because the mean of its divisors is an integer number (8666112).

Almost surely, 2552332144 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 552332144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (693288960).

552332144 is an abundant number, since it is smaller than the sum of its proper divisors (834245776).

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

552332144 is a wasteful number, since it uses less digits than its factorization.

552332144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 287 (or 281 counting only the distinct ones).

The product of its digits is 14400, while the sum is 29.

The square root of 552332144 is about 23501.7476796940. The cubic root of 552332144 is about 820.4776832070.

Adding to 552332144 its reverse (441233255), we get a palindrome (993565399).

The spelling of 552332144 in words is "five hundred fifty-two million, three hundred thirty-two thousand, one hundred forty-four".

Divisors: 1 2 4 7 8 13 14 16 26 28 29 52 56 58 91 103 104 112 116 127 182 203 206 208 232 254 364 377 406 412 464 508 721 728 754 812 824 889 1016 1339 1442 1456 1508 1624 1648 1651 1778 2032 2639 2678 2884 2987 3016 3248 3302 3556 3683 5278 5356 5768 5974 6032 6604 7112 7366 9373 10556 10712 11536 11557 11948 13081 13208 14224 14732 18746 20909 21112 21424 23114 23896 25781 26162 26416 29464 37492 38831 41818 42224 46228 47792 47879 51562 52324 58928 74984 77662 83636 91567 92456 95758 103124 104648 149968 155324 167272 170053 183134 184912 191516 206248 209296 271817 310648 334544 335153 340106 366268 379349 383032 412496 543634 621296 670306 680212 732536 758698 766064 1087268 1190371 1340612 1360424 1465072 1517396 2174536 2380742 2655443 2681224 2720848 3034792 4349072 4761484 4931537 5310886 5362448 6069584 9522968 9863074 10621772 19045936 19726148 21243544 34520759 39452296 42487088 69041518 78904592 138083036 276166072 552332144