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41619968 = 2913337
BaseRepresentation
bin1001111011000…
…1001000000000
32220022111212022
42132301020000
541123314333
64044021012
71013523005
oct236611000
986274768
1041619968
1121547775
1211b31768
138813000
1457558ac
1539c1c98
hex27b1200

41619968 has 80 divisors (see below), whose sum is σ = 92520120. Its totient is φ = 18690048.

The previous prime is 41619967. The next prime is 41619983. The reversal of 41619968 is 86991614.

It can be written as a sum of positive squares in 4 ways, for example, as 7139584 + 34480384 = 2672^2 + 5872^2 .

It is not an unprimeable number, because it can be changed into a prime (41619967) 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, 1124846 + ... + 1124882.

Almost surely, 241619968 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 41619968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (46260060).

41619968 is an abundant number, since it is smaller than the sum of its proper divisors (50900152).

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

41619968 is an frugal number, since it uses more digits than its factorization.

41619968 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 94 (or 52 counting only the distinct ones).

The product of its digits is 93312, while the sum is 44.

The square root of 41619968 is about 6451.3539664167. The cubic root of 41619968 is about 346.5510725712.

The spelling of 41619968 in words is "forty-one million, six hundred nineteen thousand, nine hundred sixty-eight".

Divisors: 1 2 4 8 13 16 26 32 37 52 64 74 104 128 148 169 208 256 296 338 416 481 512 592 676 832 962 1184 1352 1664 1924 2197 2368 2704 3328 3848 4394 4736 5408 6253 6656 7696 8788 9472 10816 12506 15392 17576 18944 21632 25012 30784 35152 43264 50024 61568 70304 81289 86528 100048 123136 140608 162578 200096 246272 281216 325156 400192 562432 650312 800384 1124864 1300624 1600768 2601248 3201536 5202496 10404992 20809984 41619968