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44112480 = 2535293169
BaseRepresentation
bin1010100001000…
…1101001100000
310002000010221120
42220101221200
542243044410
64213252240
71043643546
oct250215140
9102003846
1044112480
112299a3a5
1212934080
1391a6679
145c03d96
153d15570
hex2a11a60

44112480 has 96 divisors (see below), whose sum is σ = 143791200. Its totient is φ = 11354112.

The previous prime is 44112449. The next prime is 44112487. The reversal of 44112480 is 8421144.

It is a tau number, because it is divible by the number of its divisors (96).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a self number, because there is not a number n which added to its sum of digits gives 44112480.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (44112487) 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, 12336 + ... + 15504.

It is an arithmetic number, because the mean of its divisors is an integer number (1497825).

Almost surely, 244112480 is an apocalyptic number.

44112480 is a gapful number since it is divisible by the number (40) 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 44112480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (71895600).

44112480 is an abundant number, since it is smaller than the sum of its proper divisors (99678720).

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

44112480 is a wasteful number, since it uses less digits than its factorization.

44112480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3216 (or 3208 counting only the distinct ones).

The product of its (nonzero) digits is 1024, while the sum is 24.

The square root of 44112480 is about 6641.7226681035. The cubic root of 44112480 is about 353.3354060240.

It can be divided in two parts, 441 and 12480, that added together give a palindrome (12921).

The spelling of 44112480 in words is "forty-four million, one hundred twelve thousand, four hundred eighty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 29 30 32 40 48 58 60 80 87 96 116 120 145 160 174 232 240 290 348 435 464 480 580 696 870 928 1160 1392 1740 2320 2784 3169 3480 4640 6338 6960 9507 12676 13920 15845 19014 25352 31690 38028 47535 50704 63380 76056 91901 95070 101408 126760 152112 183802 190140 253520 275703 304224 367604 380280 459505 507040 551406 735208 760560 919010 1102812 1378515 1470416 1521120 1838020 2205624 2757030 2940832 3676040 4411248 5514060 7352080 8822496 11028120 14704160 22056240 44112480