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109076448 = 25313711231
BaseRepresentation
bin1101000000001…
…01111111100000
321121020122202110
412200011333200
5210410421243
614453515320
72463064065
oct640057740
9247218673
10109076448
1156630828
1230642b40
13197a0ba0
14106b4c6c
159898e33
hex6805fe0

109076448 has 96 divisors (see below), whose sum is σ = 312947712. Its totient is φ = 33062400.

The previous prime is 109076447. The next prime is 109076449. The reversal of 109076448 is 844670901.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (109076447) and next prime (109076449).

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 (39).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (109076447) 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, 87993 + ... + 89223.

It is an arithmetic number, because the mean of its divisors is an integer number (3259872).

Almost surely, 2109076448 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 109076448, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (156473856).

109076448 is an abundant number, since it is smaller than the sum of its proper divisors (203871264).

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

109076448 is a wasteful number, since it uses less digits than its factorization.

109076448 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1328 (or 1320 counting only the distinct ones).

The product of its (nonzero) digits is 48384, while the sum is 39.

The square root of 109076448 is about 10443.9670623763. The cubic root of 109076448 is about 477.7972681831.

The spelling of 109076448 in words is "one hundred nine million, seventy-six thousand, four hundred forty-eight".

Divisors: 1 2 3 4 6 8 12 13 16 24 26 32 39 48 52 71 78 96 104 142 156 208 213 284 312 416 426 568 624 852 923 1136 1231 1248 1704 1846 2272 2462 2769 3408 3692 3693 4924 5538 6816 7384 7386 9848 11076 14768 14772 16003 19696 22152 29536 29544 32006 39392 44304 48009 59088 64012 87401 88608 96018 118176 128024 174802 192036 256048 262203 349604 384072 512096 524406 699208 768144 1048812 1136213 1398416 1536288 2097624 2272426 2796832 3408639 4195248 4544852 6817278 8390496 9089704 13634556 18179408 27269112 36358816 54538224 109076448