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41972436 = 223211831277
BaseRepresentation
bin1010000000011…
…1001011010100
32220222102100200
42200013023110
541221104221
64055340500
71016521422
oct240071324
986872320
1041972436
1121768570
1212081730
13890757c
145808112
153a41426
hex28072d4

41972436 has 72 divisors (see below), whose sum is σ = 117228384. Its totient is φ = 12555840.

The previous prime is 41972417. The next prime is 41972443. The reversal of 41972436 is 63427914.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a self number, because there is not a number n which added to its sum of digits gives 41972436.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 32230 + ... + 33506.

It is an arithmetic number, because the mean of its divisors is an integer number (1628172).

Almost surely, 241972436 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 41972436, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (58614192).

41972436 is an abundant number, since it is smaller than the sum of its proper divisors (75255948).

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

41972436 is a wasteful number, since it uses less digits than its factorization.

41972436 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1381 (or 1376 counting only the distinct ones).

The product of its digits is 36288, while the sum is 36.

The square root of 41972436 is about 6478.6137406084. The cubic root of 41972436 is about 347.5266056265.

The spelling of 41972436 in words is "forty-one million, nine hundred seventy-two thousand, four hundred thirty-six".

Divisors: 1 2 3 4 6 9 11 12 18 22 33 36 44 66 83 99 132 166 198 249 332 396 498 747 913 996 1277 1494 1826 2554 2739 2988 3652 3831 5108 5478 7662 8217 10956 11493 14047 15324 16434 22986 28094 32868 42141 45972 56188 84282 105991 126423 168564 211982 252846 317973 423964 505692 635946 953919 1165901 1271892 1907838 2331802 3497703 3815676 4663604 6995406 10493109 13990812 20986218 41972436