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41972910 = 235734079
BaseRepresentation
bin1010000000011…
…1010010101110
32220222110000020
42200013102232
541221113120
64055343010
71016523000
oct240072256
986873006
1041972910
1121768961
1212081a66
138907855
145808370
153a41640
hex28074ae

41972910 has 64 divisors (see below), whose sum is σ = 117504000. Its totient is φ = 9591456.

The previous prime is 41972899. The next prime is 41972923. The reversal of 41972910 is 1927914.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 8251 + ... + 12329.

It is an arithmetic number, because the mean of its divisors is an integer number (1836000).

Almost surely, 241972910 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 41972910, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (58752000).

41972910 is an abundant number, since it is smaller than the sum of its proper divisors (75531090).

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

41972910 is a wasteful number, since it uses less digits than its factorization.

41972910 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4110 (or 4096 counting only the distinct ones).

The product of its (nonzero) digits is 4536, while the sum is 33.

The square root of 41972910 is about 6478.6503224051. The cubic root of 41972910 is about 347.5279138421.

The spelling of 41972910 in words is "forty-one million, nine hundred seventy-two thousand, nine hundred ten".

Divisors: 1 2 3 5 6 7 10 14 15 21 30 35 42 49 70 98 105 147 210 245 294 343 490 686 735 1029 1470 1715 2058 3430 4079 5145 8158 10290 12237 20395 24474 28553 40790 57106 61185 85659 122370 142765 171318 199871 285530 399742 428295 599613 856590 999355 1199226 1399097 1998710 2798194 2998065 4197291 5996130 6995485 8394582 13990970 20986455 41972910