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41430972 = 223111737499
BaseRepresentation
bin1001111000001…
…0111110111100
32212221220121110
42132002332330
541101242342
64040002020
71012105002
oct236027674
985856543
1041430972
1121428780
1211a60310
138777c8b
145706a72
153985c9c
hex2782fbc

41430972 has 96 divisors (see below), whose sum is σ = 114912000. Its totient is φ = 11473920.

The previous prime is 41430967. The next prime is 41430979. The reversal of 41430972 is 27903414.

It is a happy number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (41430979) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 82779 + ... + 83277.

It is an arithmetic number, because the mean of its divisors is an integer number (1197000).

Almost surely, 241430972 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 41430972, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (57456000).

41430972 is an abundant number, since it is smaller than the sum of its proper divisors (73481028).

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

41430972 is a wasteful number, since it uses less digits than its factorization.

41430972 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 571 (or 569 counting only the distinct ones).

The product of its (nonzero) digits is 6048, while the sum is 30.

The square root of 41430972 is about 6436.6895217961. The cubic root of 41430972 is about 346.0257145066.

The spelling of 41430972 in words is "forty-one million, four hundred thirty thousand, nine hundred seventy-two".

Divisors: 1 2 3 4 6 11 12 17 22 33 34 37 44 51 66 68 74 102 111 132 148 187 204 222 374 407 444 499 561 629 748 814 998 1122 1221 1258 1497 1628 1887 1996 2244 2442 2516 2994 3774 4884 5489 5988 6919 7548 8483 10978 13838 16467 16966 18463 20757 21956 25449 27676 32934 33932 36926 41514 50898 55389 65868 73852 83028 93313 101796 110778 186626 203093 221556 279939 313871 373252 406186 559878 609279 627742 812372 941613 1119756 1218558 1255484 1883226 2437116 3452581 3766452 6905162 10357743 13810324 20715486 41430972