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45221376 = 29359499
BaseRepresentation
bin1010110010000…
…0011000000000
310011002111001210
42230200120000
543034041001
64253130120
71056242514
oct254403000
9104074053
1045221376
1123587542
1213189940
1394a4315
146012144
153e83dd6
hex2b20600

45221376 has 80 divisors (see below), whose sum is σ = 122760000. Its totient is φ = 14788608.

The previous prime is 45221347. The next prime is 45221389. The reversal of 45221376 is 67312254.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 90375 + ... + 90873.

It is an arithmetic number, because the mean of its divisors is an integer number (1534500).

Almost surely, 245221376 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 45221376, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (61380000).

45221376 is an abundant number, since it is smaller than the sum of its proper divisors (77538624).

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

45221376 is an equidigital number, since it uses as much as digits as its factorization.

45221376 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 579 (or 563 counting only the distinct ones).

The product of its digits is 10080, while the sum is 30.

The square root of 45221376 is about 6724.6840817989. The cubic root of 45221376 is about 356.2716438681.

The spelling of 45221376 in words is "forty-five million, two hundred twenty-one thousand, three hundred seventy-six".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 59 64 96 118 128 177 192 236 256 354 384 472 499 512 708 768 944 998 1416 1497 1536 1888 1996 2832 2994 3776 3992 5664 5988 7552 7984 11328 11976 15104 15968 22656 23952 29441 30208 31936 45312 47904 58882 63872 88323 90624 95808 117764 127744 176646 191616 235528 255488 353292 383232 471056 706584 766464 942112 1413168 1884224 2826336 3768448 5652672 7536896 11305344 15073792 22610688 45221376