Search a number
-
+
109944352 = 2573171223
BaseRepresentation
bin1101000110110…
…01111000100000
321122212202022001
412203121320200
5211121204402
614524253344
72503340320
oct643317040
9248782261
10109944352
1157073901
12309a1254
1319a15c3b
141085d280
1599bb187
hex68d9e20

109944352 has 96 divisors (see below), whose sum is σ = 260112384. Its totient is φ = 44755200.

The previous prime is 109944323. The next prime is 109944377. The reversal of 109944352 is 253449901.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 492913 + ... + 493135.

It is an arithmetic number, because the mean of its divisors is an integer number (2709504).

Almost surely, 2109944352 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 109944352, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (130056192).

109944352 is an abundant number, since it is smaller than the sum of its proper divisors (150168032).

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

109944352 is a wasteful number, since it uses less digits than its factorization.

109944352 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 342 (or 334 counting only the distinct ones).

The product of its (nonzero) digits is 38880, while the sum is 37.

The square root of 109944352 is about 10485.4352317870. The cubic root of 109944352 is about 479.0611742192.

It can be divided in two parts, 1099 and 44352, that added together give a triangular number (45451 = T301).

The spelling of 109944352 in words is "one hundred nine million, nine hundred forty-four thousand, three hundred fifty-two".

Divisors: 1 2 4 7 8 14 16 28 31 32 56 62 71 112 124 142 217 223 224 248 284 434 446 496 497 568 868 892 992 994 1136 1561 1736 1784 1988 2201 2272 3122 3472 3568 3976 4402 6244 6913 6944 7136 7952 8804 12488 13826 15407 15833 15904 17608 24976 27652 30814 31666 35216 48391 49952 55304 61628 63332 70432 96782 110608 110831 123256 126664 193564 221216 221662 246512 253328 387128 443324 490823 493024 506656 774256 886648 981646 1548512 1773296 1963292 3435761 3546592 3926584 6871522 7853168 13743044 15706336 27486088 54972176 109944352