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44689400 = 23527137233
BaseRepresentation
bin1010101001111…
…0011111111000
310010002110022222
42222132133320
542420030100
64233503212
71051565540
oct252363770
9103073288
1044689400
1123253898
1212b71b08
139349142
145d14320
153dcb485
hex2a9e7f8

44689400 has 96 divisors (see below), whose sum is σ = 120126240. Its totient is φ = 15144960.

The previous prime is 44689399. The next prime is 44689409. The reversal of 44689400 is 498644.

It is a Harshad number since it is a multiple of its sum of digits (35).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (44689409) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 191684 + ... + 191916.

It is an arithmetic number, because the mean of its divisors is an integer number (1251315).

Almost surely, 244689400 is an apocalyptic number.

44689400 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 44689400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (60063120).

44689400 is an abundant number, since it is smaller than the sum of its proper divisors (75436840).

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

44689400 is a wasteful number, since it uses less digits than its factorization.

44689400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 393 (or 384 counting only the distinct ones).

The product of its (nonzero) digits is 27648, while the sum is 35.

The square root of 44689400 is about 6685.0130889924. The cubic root of 44689400 is about 354.8690914535.

The spelling of 44689400 in words is "forty-four million, six hundred eighty-nine thousand, four hundred".

Divisors: 1 2 4 5 7 8 10 14 20 25 28 35 40 50 56 70 100 137 140 175 200 233 274 280 350 466 548 685 700 932 959 1096 1165 1370 1400 1631 1864 1918 2330 2740 3262 3425 3836 4660 4795 5480 5825 6524 6850 7672 8155 9320 9590 11650 13048 13700 16310 19180 23300 23975 27400 31921 32620 38360 40775 46600 47950 63842 65240 81550 95900 127684 159605 163100 191800 223447 255368 319210 326200 446894 638420 798025 893788 1117235 1276840 1596050 1787576 2234470 3192100 4468940 5586175 6384200 8937880 11172350 22344700 44689400