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544914072 = 2332193791051
BaseRepresentation
bin100000011110101…
…011101010011000
31101222100111120200
4200132223222120
52103444222242
6130023222200
716334456523
oct4036535230
91358314520
10544914072
1125a65400a
121325a7960
1388b7c581
1452527bba
1532c8b04c
hex207aba98

544914072 has 96 divisors (see below), whose sum is σ = 1559064000. Its totient is φ = 171460800.

The previous prime is 544914049. The next prime is 544914131. The reversal of 544914072 is 270419445.

It is a happy number.

544914072 is a `hidden beast` number, since 5 + 449 + 140 + 72 = 666.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 517947 + ... + 518997.

It is an arithmetic number, because the mean of its divisors is an integer number (16240250).

Almost surely, 2544914072 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 544914072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (779532000).

544914072 is an abundant number, since it is smaller than the sum of its proper divisors (1014149928).

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

544914072 is a wasteful number, since it uses less digits than its factorization.

544914072 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1461 (or 1454 counting only the distinct ones).

The product of its (nonzero) digits is 40320, while the sum is 36.

The square root of 544914072 is about 23343.3946117526. The cubic root of 544914072 is about 816.7879859379.

The spelling of 544914072 in words is "five hundred forty-four million, nine hundred fourteen thousand, seventy-two".

Divisors: 1 2 3 4 6 8 9 12 18 19 24 36 38 57 72 76 114 152 171 228 342 379 456 684 758 1051 1137 1368 1516 2102 2274 3032 3153 3411 4204 4548 6306 6822 7201 8408 9096 9459 12612 13644 14402 18918 19969 21603 25224 27288 28804 37836 39938 43206 57608 59907 64809 75672 79876 86412 119814 129618 159752 172824 179721 239628 259236 359442 398329 479256 518472 718884 796658 1194987 1437768 1593316 2389974 3186632 3584961 4779948 7169922 7568251 9559896 14339844 15136502 22704753 28679688 30273004 45409506 60546008 68114259 90819012 136228518 181638024 272457036 544914072