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41048072 = 2313297313
BaseRepresentation
bin1001110010010…
…1100000001000
32212020110100222
42130211200020
541002014242
64023445212
71005621452
oct234454010
985213328
1041048072
112119702a
12118b6808
138672900
1456472d2
15390c5d2
hex2725808

41048072 has 48 divisors (see below), whose sum is σ = 84469140. Its totient is φ = 18690048.

The previous prime is 41048071. The next prime is 41048083. The reversal of 41048072 is 27084014.

It can be written as a sum of positive squares in 6 ways, for example, as 11236 + 41036836 = 106^2 + 6406^2 .

It is a Harshad number since it is a multiple of its sum of digits (26).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (41048071) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 130988 + ... + 131300.

Almost surely, 241048072 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 41048072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (42234570).

41048072 is an abundant number, since it is smaller than the sum of its proper divisors (43421068).

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

41048072 is a wasteful number, since it uses less digits than its factorization.

41048072 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 442 (or 425 counting only the distinct ones).

The product of its (nonzero) digits is 1792, while the sum is 26.

The square root of 41048072 is about 6406.8769302992. The cubic root of 41048072 is about 344.9564378240.

The spelling of 41048072 in words is "forty-one million, forty-eight thousand, seventy-two".

Divisors: 1 2 4 8 13 26 52 97 104 169 194 313 338 388 626 676 776 1252 1261 1352 2504 2522 4069 5044 8138 10088 16276 16393 30361 32552 32786 52897 60722 65572 105794 121444 131144 211588 242888 394693 423176 789386 1578772 3157544 5131009 10262018 20524036 41048072