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108807444 = 223247107601
BaseRepresentation
bin1100111110001…
…00010100010100
321120201222202100
412133010110110
5210323314234
614444042100
72460563604
oct637042424
9246658670
10108807444
1156467709
1230533330
1319708605
1410644c04
159844399
hex67c4514

108807444 has 72 divisors (see below), whose sum is σ = 283989888. Its totient is φ = 35107200.

The previous prime is 108807409. The next prime is 108807473. The reversal of 108807444 is 444708801.

It is a happy number.

It is a Smith number, since the sum of its digits (36) coincides with the sum of the digits of its prime factors.

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

It is a junction number, because it is equal to n+sod(n) for n = 108807399 and 108807408.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 180744 + ... + 181344.

It is an arithmetic number, because the mean of its divisors is an integer number (3944304).

Almost surely, 2108807444 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 108807444, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (141994944).

108807444 is an abundant number, since it is smaller than the sum of its proper divisors (175182444).

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

108807444 is a wasteful number, since it uses less digits than its factorization.

108807444 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 765 (or 760 counting only the distinct ones).

The product of its (nonzero) digits is 28672, while the sum is 36.

The square root of 108807444 is about 10431.0806726820. The cubic root of 108807444 is about 477.4041641316.

The spelling of 108807444 in words is "one hundred eight million, eight hundred seven thousand, four hundred forty-four".

Divisors: 1 2 3 4 6 9 12 18 36 47 94 107 141 188 214 282 321 423 428 564 601 642 846 963 1202 1284 1692 1803 1926 2404 3606 3852 5029 5409 7212 10058 10818 15087 20116 21636 28247 30174 45261 56494 60348 64307 84741 90522 112988 128614 169482 181044 192921 254223 257228 338964 385842 508446 578763 771684 1016892 1157526 2315052 3022429 6044858 9067287 12089716 18134574 27201861 36269148 54403722 108807444