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44689104 = 2433314771
BaseRepresentation
bin1010101001111…
…0011011010000
310010002102221000
42222132123100
542420022404
64233502000
71051564635
oct252363320
9103072830
1044689104
1123253649
1212b71900
139348c75
145d1418c
153dcb339
hex2a9e6d0

44689104 has 160 divisors (see below), whose sum is σ = 137134080. Its totient is φ = 13910400.

The previous prime is 44689091. The next prime is 44689153. The reversal of 44689104 is 40198644.

It is a happy number.

44689104 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 629389 + ... + 629459.

It is an arithmetic number, because the mean of its divisors is an integer number (857088).

Almost surely, 244689104 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 44689104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (68567040).

44689104 is an abundant number, since it is smaller than the sum of its proper divisors (92444976).

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

44689104 is a wasteful number, since it uses less digits than its factorization.

44689104 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 166 (or 154 counting only the distinct ones).

The product of its (nonzero) digits is 27648, while the sum is 36.

The square root of 44689104 is about 6684.9909498817. The cubic root of 44689104 is about 354.8683079606.

The spelling of 44689104 in words is "forty-four million, six hundred eighty-nine thousand, one hundred four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 31 36 47 48 54 62 71 72 93 94 108 124 141 142 144 186 188 213 216 248 279 282 284 372 376 423 426 432 496 558 564 568 639 744 752 837 846 852 1116 1128 1136 1269 1278 1457 1488 1674 1692 1704 1917 2201 2232 2256 2538 2556 2914 3337 3348 3384 3408 3834 4371 4402 4464 5076 5112 5828 6603 6674 6696 6768 7668 8742 8804 10011 10152 10224 11656 13113 13206 13348 13392 15336 17484 17608 19809 20022 20304 23312 26226 26412 26696 30033 30672 34968 35216 39339 39618 40044 52452 52824 53392 59427 60066 69936 78678 79236 80088 90099 103447 104904 105648 118854 120132 157356 158472 160176 180198 206894 209808 237708 240264 310341 314712 316944 360396 413788 475416 480528 620682 629424 720792 827576 931023 950832 1241364 1441584 1655152 1862046 2482728 2793069 3724092 4965456 5586138 7448184 11172276 14896368 22344552 44689104