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41552680 = 23513411949
BaseRepresentation
bin1001111010000…
…0101100101000
32220012002120011
42132200230220
541114141210
64042341304
71013122561
oct236405450
986162504
1041552680
1121501164
1211aba834
1387bb4b0
145739168
1539abd8a
hex27a0b28

41552680 has 64 divisors (see below), whose sum is σ = 103194000. Its totient is φ = 14960640.

The previous prime is 41552669. The next prime is 41552681. The reversal of 41552680 is 8625514.

It can be written as a sum of positive squares in 8 ways, for example, as 6340324 + 35212356 = 2518^2 + 5934^2 .

It is not an unprimeable number, because it can be changed into a prime (41552681) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 20346 + ... + 22294.

Almost surely, 241552680 is an apocalyptic number.

41552680 is a gapful number since it is divisible by the number (40) 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 41552680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (51597000).

41552680 is an abundant number, since it is smaller than the sum of its proper divisors (61641320).

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

41552680 is a wasteful number, since it uses less digits than its factorization.

41552680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2014 (or 2010 counting only the distinct ones).

The product of its (nonzero) digits is 9600, while the sum is 31.

The square root of 41552680 is about 6446.1368275891. The cubic root of 41552680 is about 346.3642126924.

The spelling of 41552680 in words is "forty-one million, five hundred fifty-two thousand, six hundred eighty".

Divisors: 1 2 4 5 8 10 13 20 26 40 41 52 65 82 104 130 164 205 260 328 410 520 533 820 1066 1640 1949 2132 2665 3898 4264 5330 7796 9745 10660 15592 19490 21320 25337 38980 50674 77960 79909 101348 126685 159818 202696 253370 319636 399545 506740 639272 799090 1013480 1038817 1598180 2077634 3196360 4155268 5194085 8310536 10388170 20776340 41552680