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44111952 = 2434101337
BaseRepresentation
bin1010100001000…
…1100001010000
310002000010020000
42220101201100
542243040302
64213250000
71043642163
oct250214120
9102003200
1044111952
1122999a65
1212933900
1391a6361
145c03ada
153d1531c
hex2a11850

44111952 has 100 divisors (see below), whose sum is σ = 129319476. Its totient is φ = 14515200.

The previous prime is 44111911. The next prime is 44111971. The reversal of 44111952 is 25911144.

It can be written as a sum of positive squares in 2 ways, for example, as 29550096 + 14561856 = 5436^2 + 3816^2 .

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 130728 + ... + 131064.

Almost surely, 244111952 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 44111952, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (64659738).

44111952 is an abundant number, since it is smaller than the sum of its proper divisors (85207524).

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

44111952 is a wasteful number, since it uses less digits than its factorization.

44111952 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 458 (or 443 counting only the distinct ones).

The product of its digits is 1440, while the sum is 27.

The square root of 44111952 is about 6641.6829192608. The cubic root of 44111952 is about 353.3339962805. Note that the first 3 decimals are identical.

The spelling of 44111952 in words is "forty-four million, one hundred eleven thousand, nine hundred fifty-two".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 36 48 54 72 81 101 108 144 162 202 216 303 324 337 404 432 606 648 674 808 909 1011 1212 1296 1348 1616 1818 2022 2424 2696 2727 3033 3636 4044 4848 5392 5454 6066 7272 8088 8181 9099 10908 12132 14544 16176 16362 18198 21816 24264 27297 32724 34037 36396 43632 48528 54594 65448 68074 72792 102111 109188 130896 136148 145584 204222 218376 272296 306333 408444 436752 544592 612666 816888 918999 1225332 1633776 1837998 2450664 2756997 3675996 4901328 5513994 7351992 11027988 14703984 22055976 44111952