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41890848 = 2532941367
BaseRepresentation
bin1001111111001…
…1010000100000
32220211021102220
42133303100200
541211001343
64053511040
71016031516
oct237632040
986737386
1041890848
112171223a
1212042480
1388a93ac
1457c64b6
153a27183
hex27f3420

41890848 has 96 divisors (see below), whose sum is σ = 116847360. Its totient is φ = 13117440.

The previous prime is 41890813. The next prime is 41890859. The reversal of 41890848 is 84809814.

It is a tau number, because it is divible by the number of its divisors (96).

It is a congruent number.

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, 113961 + ... + 114327.

It is an arithmetic number, because the mean of its divisors is an integer number (1217160).

Almost surely, 241890848 is an apocalyptic number.

41890848 is a gapful number since it is divisible by the number (48) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 41890848, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (58423680).

41890848 is an abundant number, since it is smaller than the sum of its proper divisors (74956512).

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

41890848 is a wasteful number, since it uses less digits than its factorization.

41890848 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 450 (or 442 counting only the distinct ones).

The product of its (nonzero) digits is 73728, while the sum is 42.

The square root of 41890848 is about 6472.3139602464. The cubic root of 41890848 is about 347.3012800301.

The spelling of 41890848 in words is "forty-one million, eight hundred ninety thousand, eight hundred forty-eight".

Divisors: 1 2 3 4 6 8 12 16 24 29 32 41 48 58 82 87 96 116 123 164 174 232 246 328 348 367 464 492 656 696 734 928 984 1101 1189 1312 1392 1468 1968 2202 2378 2784 2936 3567 3936 4404 4756 5872 7134 8808 9512 10643 11744 14268 15047 17616 19024 21286 28536 30094 31929 35232 38048 42572 45141 57072 60188 63858 85144 90282 114144 120376 127716 170288 180564 240752 255432 340576 361128 436363 481504 510864 722256 872726 1021728 1309089 1444512 1745452 2618178 3490904 5236356 6981808 10472712 13963616 20945424 41890848