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551344248 = 233271326473
BaseRepresentation
bin100000110111001…
…101100001111000
31102102110012010100
4200313031201320
52112121003443
6130413115400
716443230430
oct4067154170
91372405110
10551344248
11263246104
12134788b60
138a2c1300
145331d2c0
153360b3d3
hex20dcd878

551344248 has 144 divisors (see below), whose sum is σ = 1848197520. Its totient is φ = 145387008.

The previous prime is 551344243. The next prime is 551344301. The reversal of 551344248 is 842443155.

It is a happy number.

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (551344243) 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, 81940 + ... + 88412.

It is an arithmetic number, because the mean of its divisors is an integer number (12834705).

Almost surely, 2551344248 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 551344248, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (924098760).

551344248 is an abundant number, since it is smaller than the sum of its proper divisors (1296853272).

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

551344248 is a wasteful number, since it uses less digits than its factorization.

551344248 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6518 (or 6498 counting only the distinct ones).

The product of its digits is 76800, while the sum is 36.

The square root of 551344248 is about 23480.7207725828. The cubic root of 551344248 is about 819.9882250937.

The spelling of 551344248 in words is "five hundred fifty-one million, three hundred forty-four thousand, two hundred forty-eight".

Divisors: 1 2 3 4 6 7 8 9 12 13 14 18 21 24 26 28 36 39 42 52 56 63 72 78 84 91 104 117 126 156 168 169 182 234 252 273 312 338 364 468 504 507 546 676 728 819 936 1014 1092 1183 1352 1521 1638 2028 2184 2366 3042 3276 3549 4056 4732 6084 6473 6552 7098 9464 10647 12168 12946 14196 19419 21294 25892 28392 38838 42588 45311 51784 58257 77676 84149 85176 90622 116514 135933 155352 168298 181244 233028 252447 271866 336596 362488 407799 466056 504894 543732 589043 673192 757341 815598 1009788 1087464 1093937 1178086 1514682 1631196 1767129 2019576 2187874 2356172 3029364 3262392 3281811 3534258 4375748 4712344 5301387 6058728 6563622 7068516 7657559 8751496 9845433 10602774 13127244 14137032 15315118 19690866 21205548 22972677 26254488 30630236 39381732 42411096 45945354 61260472 68918031 78763464 91890708 137836062 183781416 275672124 551344248