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45449472 = 283233183
BaseRepresentation
bin1010110101100…
…0000100000000
310011112001221210
42231120010000
543113340342
64302050120
71061212515
oct255300400
9104461853
1045449472
1123722952
1213279940
1395540a3
14607130c
153ecb79c
hex2b58100

45449472 has 144 divisors (see below), whose sum is σ = 131862528. Its totient is φ = 13854720.

The previous prime is 45449399. The next prime is 45449473. The reversal of 45449472 is 27494454.

It is a Smith number, since the sum of its digits (39) coincides with the sum of the digits of its prime factors.

It is a self number, because there is not a number n which added to its sum of digits gives 45449472.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (45449473) 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, 547543 + ... + 547625.

It is an arithmetic number, because the mean of its divisors is an integer number (915712).

Almost surely, 245449472 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 45449472, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (65931264).

45449472 is an abundant number, since it is smaller than the sum of its proper divisors (86413056).

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

45449472 is a wasteful number, since it uses less digits than its factorization.

45449472 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 156 (or 142 counting only the distinct ones).

The product of its digits is 161280, while the sum is 39.

The square root of 45449472 is about 6741.6223566735. The cubic root of 45449472 is about 356.8696493095.

The spelling of 45449472 in words is "forty-five million, four hundred forty-nine thousand, four hundred seventy-two".

Divisors: 1 2 3 4 6 8 12 16 23 24 31 32 46 48 62 64 69 83 92 93 96 124 128 138 166 184 186 192 248 249 256 276 332 368 372 384 496 498 552 664 713 736 744 768 992 996 1104 1328 1426 1472 1488 1909 1984 1992 2139 2208 2573 2656 2852 2944 2976 3818 3968 3984 4278 4416 5146 5312 5704 5727 5888 5952 7636 7719 7936 7968 8556 8832 10292 10624 11408 11454 11904 15272 15438 15936 17112 17664 20584 21248 22816 22908 23808 30544 30876 31872 34224 41168 45632 45816 59179 61088 61752 63744 68448 82336 91264 91632 118358 122176 123504 136896 164672 177537 182528 183264 236716 244352 247008 273792 329344 355074 366528 473432 488704 494016 547584 658688 710148 733056 946864 988032 1420296 1466112 1893728 1976064 2840592 3787456 5681184 7574912 11362368 15149824 22724736 45449472