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41505408 = 273275147
BaseRepresentation
bin1001111001010…
…1001010000000
32220002200201100
42132111022000
541111133113
64041334400
71012535010
oct236251200
986080640
1041505408
112147969a
1211a97400
1387a2b19
145725c40
15399cd73
hex2795280

41505408 has 96 divisors (see below), whose sum is σ = 136524960. Its totient is φ = 11856384.

The previous prime is 41505397. The next prime is 41505433. The reversal of 41505408 is 80450514.

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

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 5491 + ... + 10637.

It is an arithmetic number, because the mean of its divisors is an integer number (1422135).

Almost surely, 241505408 is an apocalyptic number.

41505408 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 41505408, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (68262480).

41505408 is an abundant number, since it is smaller than the sum of its proper divisors (95019552).

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

41505408 is a wasteful number, since it uses less digits than its factorization.

41505408 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5174 (or 5159 counting only the distinct ones).

The product of its (nonzero) digits is 3200, while the sum is 27.

The square root of 41505408 is about 6442.4690918933. The cubic root of 41505408 is about 346.2328168998.

The spelling of 41505408 in words is "forty-one million, five hundred five thousand, four hundred eight".

Divisors: 1 2 3 4 6 7 8 9 12 14 16 18 21 24 28 32 36 42 48 56 63 64 72 84 96 112 126 128 144 168 192 224 252 288 336 384 448 504 576 672 896 1008 1152 1344 2016 2688 4032 5147 8064 10294 15441 20588 30882 36029 41176 46323 61764 72058 82352 92646 108087 123528 144116 164704 185292 216174 247056 288232 324261 329408 370584 432348 494112 576464 648522 658816 741168 864696 988224 1152928 1297044 1482336 1729392 1976448 2305856 2594088 2964672 3458784 4611712 5188176 5929344 6917568 10376352 13835136 20752704 41505408