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45254272 = 277172971
BaseRepresentation
bin1010110010100…
…0011010000000
310011011011012011
42230220122000
543041114042
64253542304
71056440440
oct254503200
9104134164
1045254272
11235aa228
12131a4994
1394b629b
146020120
153e8da17
hex2b28680

45254272 has 64 divisors (see below), whose sum is σ = 109131840. Its totient is φ = 18247680.

The previous prime is 45254269. The next prime is 45254299. The reversal of 45254272 is 27245254.

It is a tau number, because it is divible by the number of its divisors (64).

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 13747 + ... + 16717.

It is an arithmetic number, because the mean of its divisors is an integer number (1705185).

Almost surely, 245254272 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 45254272, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (54565920).

45254272 is an abundant number, since it is smaller than the sum of its proper divisors (63877568).

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

45254272 is a wasteful number, since it uses less digits than its factorization.

45254272 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3009 (or 2997 counting only the distinct ones).

The product of its digits is 22400, while the sum is 31.

The square root of 45254272 is about 6727.1295513020. The cubic root of 45254272 is about 356.3580121031.

The spelling of 45254272 in words is "forty-five million, two hundred fifty-four thousand, two hundred seventy-two".

Divisors: 1 2 4 7 8 14 16 17 28 32 34 56 64 68 112 119 128 136 224 238 272 448 476 544 896 952 1088 1904 2176 2971 3808 5942 7616 11884 15232 20797 23768 41594 47536 50507 83188 95072 101014 166376 190144 202028 332752 353549 380288 404056 665504 707098 808112 1331008 1414196 1616224 2662016 2828392 3232448 5656784 6464896 11313568 22627136 45254272