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549000672 = 253113714051
BaseRepresentation
bin100000101110010…
…001010111100000
31102021001010100020
4200232101113200
52111021010142
6130250553440
716414300023
oct4056212740
91367033306
10549000672
11261995370
12133a38880
138998068c
1452cad1ba
15332e6cec
hex20b915e0

549000672 has 96 divisors (see below), whose sum is σ = 1614743424. Its totient is φ = 161856000.

The previous prime is 549000637. The next prime is 549000677. The reversal of 549000672 is 276000945.

It is a tau number, because it is divible by the number of its divisors (96).

It is a Harshad number since it is a multiple of its sum of digits (33).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (549000677) 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, 32047 + ... + 46097.

It is an arithmetic number, because the mean of its divisors is an integer number (16820244).

Almost surely, 2549000672 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 549000672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (807371712).

549000672 is an abundant number, since it is smaller than the sum of its proper divisors (1065742752).

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

549000672 is a wasteful number, since it uses less digits than its factorization.

549000672 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 14112 (or 14104 counting only the distinct ones).

The product of its (nonzero) digits is 15120, while the sum is 33.

The square root of 549000672 is about 23430.7633678461. The cubic root of 549000672 is about 818.8247450982.

The spelling of 549000672 in words is "five hundred forty-nine million, six hundred seventy-two", and thus it is an aban number.

Divisors: 1 2 3 4 6 8 11 12 16 22 24 32 33 37 44 48 66 74 88 96 111 132 148 176 222 264 296 352 407 444 528 592 814 888 1056 1184 1221 1628 1776 2442 3256 3552 4884 6512 9768 13024 14051 19536 28102 39072 42153 56204 84306 112408 154561 168612 224816 309122 337224 449632 463683 519887 618244 674448 927366 1039774 1236488 1348896 1559661 1854732 2079548 2472976 3119322 3709464 4159096 4945952 5718757 6238644 7418928 8318192 11437514 12477288 14837856 16636384 17156271 22875028 24954576 34312542 45750056 49909152 68625084 91500112 137250168 183000224 274500336 549000672