Search a number
-
+
41207808 = 211319353
BaseRepresentation
bin1001110100110…
…0100000000000
32212112120111010
42131030200000
541022122213
64031120520
71010155245
oct235144000
985476433
1041207808
1121296044
1211973140
1386ca525
1456895cc
15393eac3
hex274c800

41207808 has 96 divisors (see below), whose sum is σ = 115970400. Its totient is φ = 12976128.

The previous prime is 41207797. The next prime is 41207821. The reversal of 41207808 is 80870214.

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 7 ways as a sum of consecutive naturals, for example, 116560 + ... + 116912.

It is an arithmetic number, because the mean of its divisors is an integer number (1208025).

Almost surely, 241207808 is an apocalyptic number.

41207808 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 41207808, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (57985200).

41207808 is an abundant number, since it is smaller than the sum of its proper divisors (74762592).

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

41207808 is a wasteful number, since it uses less digits than its factorization.

41207808 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 397 (or 377 counting only the distinct ones).

The product of its (nonzero) digits is 3584, while the sum is 30.

The square root of 41207808 is about 6419.3308062445. The cubic root of 41207808 is about 345.4033174436.

The spelling of 41207808 in words is "forty-one million, two hundred seven thousand, eight hundred eight".

Divisors: 1 2 3 4 6 8 12 16 19 24 32 38 48 57 64 76 96 114 128 152 192 228 256 304 353 384 456 512 608 706 768 912 1024 1059 1216 1412 1536 1824 2048 2118 2432 2824 3072 3648 4236 4864 5648 6144 6707 7296 8472 9728 11296 13414 14592 16944 19456 20121 22592 26828 29184 33888 38912 40242 45184 53656 58368 67776 80484 90368 107312 116736 135552 160968 180736 214624 271104 321936 361472 429248 542208 643872 722944 858496 1084416 1287744 1716992 2168832 2575488 3433984 5150976 6867968 10301952 13735936 20603904 41207808