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41204928 = 263317677
BaseRepresentation
bin1001110100101…
…1110011000000
32212112102112110
42131023303000
541022024203
64031055320
71010143662
oct235136300
985472473
1041204928
1121293966
1211971540
1386c911b
145688532
15393dd03
hex274bcc0

41204928 has 56 divisors (see below), whose sum is σ = 109526832. Its totient is φ = 13671424.

The previous prime is 41204887. The next prime is 41204929. The reversal of 41204928 is 82940214.

It is a junction number, because it is equal to n+sod(n) for n = 41204895 and 41204904.

It is not an unprimeable number, because it can be changed into a prime (41204929) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 60526 + ... + 61202.

Almost surely, 241204928 is an apocalyptic number.

41204928 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 41204928, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (54763416).

41204928 is an abundant number, since it is smaller than the sum of its proper divisors (68321904).

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

41204928 is a wasteful number, since it uses less digits than its factorization.

41204928 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1009 (or 999 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 30.

The square root of 41204928 is about 6419.1064798771. The cubic root of 41204928 is about 345.3952705484.

It can be divided in two parts, 41 and 204928, that multiplied together give a palindrome (8402048).

The spelling of 41204928 in words is "forty-one million, two hundred four thousand, nine hundred twenty-eight".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 64 96 192 317 634 677 951 1268 1354 1902 2031 2536 2708 3804 4062 5072 5416 7608 8124 10144 10832 15216 16248 20288 21664 30432 32496 43328 60864 64992 129984 214609 429218 643827 858436 1287654 1716872 2575308 3433744 5150616 6867488 10301232 13734976 20602464 41204928