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41196672 = 2732113251
BaseRepresentation
bin1001110100100…
…1110010000000
32212112000012200
42131021302000
541021243142
64030553200
71010110626
oct235116200
985460180
1041196672
1121288740
1211968800
1386c543a
145685516
15393b64c
hex2749c80

41196672 has 96 divisors (see below), whose sum is σ = 129364560. Its totient is φ = 12480000.

The previous prime is 41196653. The next prime is 41196689. The reversal of 41196672 is 27669114.

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 (36).

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 11047 + ... + 14297.

Almost surely, 241196672 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 41196672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (64682280).

41196672 is an abundant number, since it is smaller than the sum of its proper divisors (88167888).

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

41196672 is a wasteful number, since it uses less digits than its factorization.

41196672 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3282 (or 3267 counting only the distinct ones).

The product of its digits is 18144, while the sum is 36.

The square root of 41196672 is about 6418.4633675047. The cubic root of 41196672 is about 345.3722007041.

The spelling of 41196672 in words is "forty-one million, one hundred ninety-six thousand, six hundred seventy-two".

Divisors: 1 2 3 4 6 8 9 11 12 16 18 22 24 32 33 36 44 48 64 66 72 88 96 99 128 132 144 176 192 198 264 288 352 384 396 528 576 704 792 1056 1152 1408 1584 2112 3168 3251 4224 6336 6502 9753 12672 13004 19506 26008 29259 35761 39012 52016 58518 71522 78024 104032 107283 117036 143044 156048 208064 214566 234072 286088 312096 321849 416128 429132 468144 572176 624192 643698 858264 936288 1144352 1248384 1287396 1716528 1872576 2288704 2574792 3433056 3745152 4577408 5149584 6866112 10299168 13732224 20598336 41196672