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44030952 = 2334717571
BaseRepresentation
bin1010011111110…
…1101111101000
310001212000010000
42213331233220
542232442302
64211423000
71043154060
oct247755750
9101760100
1044030952
1122944119
12128b4a60
139178524
145bc23a0
153ceb31c
hex29fdbe8

44030952 has 160 divisors (see below), whose sum is σ = 149497920. Its totient is φ = 11819520.

The previous prime is 44030929. The next prime is 44030953. The reversal of 44030952 is 25903044.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (44030953) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 76827 + ... + 77397.

It is an arithmetic number, because the mean of its divisors is an integer number (934362).

Almost surely, 244030952 is an apocalyptic number.

44030952 is a gapful number since it is divisible by the number (42) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 44030952, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (74748960).

44030952 is an abundant number, since it is smaller than the sum of its proper divisors (105466968).

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

44030952 is a wasteful number, since it uses less digits than its factorization.

44030952 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 613 (or 600 counting only the distinct ones).

The product of its (nonzero) digits is 4320, while the sum is 27.

The square root of 44030952 is about 6635.5822653329. The cubic root of 44030952 is about 353.1175954487.

Adding to 44030952 its reverse (25903044), we get a palindrome (69933996).

The spelling of 44030952 in words is "forty-four million, thirty thousand, nine hundred fifty-two".

Divisors: 1 2 3 4 6 7 8 9 12 14 17 18 21 24 27 28 34 36 42 51 54 56 63 68 72 81 84 102 108 119 126 136 153 162 168 189 204 216 238 252 306 324 357 378 408 459 476 504 567 571 612 648 714 756 918 952 1071 1134 1142 1224 1377 1428 1512 1713 1836 2142 2268 2284 2754 2856 3213 3426 3672 3997 4284 4536 4568 5139 5508 6426 6852 7994 8568 9639 9707 10278 11016 11991 12852 13704 15417 15988 19278 19414 20556 23982 25704 29121 30834 31976 35973 38556 38828 41112 46251 47964 58242 61668 67949 71946 77112 77656 87363 92502 95928 107919 116484 123336 135898 143892 174726 185004 203847 215838 232968 262089 271796 287784 323757 349452 370008 407694 431676 524178 543592 611541 647514 698904 786267 815388 863352 1048356 1223082 1295028 1572534 1630776 1834623 2096712 2446164 2590056 3145068 3669246 4892328 5503869 6290136 7338492 11007738 14676984 22015476 44030952