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44100072 = 2333613347
BaseRepresentation
bin1010100000111…
…0100111101000
310001222111221000
42220032213220
542242200242
64213115000
71043562432
oct250164750
9101874830
1044100072
1122991045
1212928a60
1391a0b23
145bdd652
153d11a4c
hex2a0e9e8

44100072 has 64 divisors (see below), whose sum is σ = 124545600. Its totient is φ = 14454720.

The previous prime is 44100071. The next prime is 44100079. The reversal of 44100072 is 27000144.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is not an unprimeable number, because it can be changed into a prime (44100071) 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, 11503 + ... + 14849.

It is an arithmetic number, because the mean of its divisors is an integer number (1946025).

Almost surely, 244100072 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 44100072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (62272800).

44100072 is an abundant number, since it is smaller than the sum of its proper divisors (80445528).

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

44100072 is a wasteful number, since it uses less digits than its factorization.

44100072 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3423 (or 3413 counting only the distinct ones).

The product of its (nonzero) digits is 224, while the sum is 18.

The square root of 44100072 is about 6640.7885073988. The cubic root of 44100072 is about 353.3022740785.

The spelling of 44100072 in words is "forty-four million, one hundred thousand, seventy-two".

Divisors: 1 2 3 4 6 8 9 12 18 24 27 36 54 61 72 108 122 183 216 244 366 488 549 732 1098 1464 1647 2196 3294 3347 4392 6588 6694 10041 13176 13388 20082 26776 30123 40164 60246 80328 90369 120492 180738 204167 240984 361476 408334 612501 722952 816668 1225002 1633336 1837503 2450004 3675006 4900008 5512509 7350012 11025018 14700024 22050036 44100072