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41680896 = 218353
BaseRepresentation
bin1001111100000…
…0000000000000
32220102121102220
42133000000000
541132242041
64045211040
71014165435
oct237000000
986377386
1041680896
1121589524
1211b60a80
13883496a
14576db8c
1539d4d66
hex27c0000

41680896 has 76 divisors (see below), whose sum is σ = 113245992. Its totient is φ = 13631488.

The previous prime is 41680871. The next prime is 41680897. The reversal of 41680896 is 69808614.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (41680897) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 786406 + ... + 786458.

Almost surely, 241680896 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 41680896, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (56622996).

41680896 is an abundant number, since it is smaller than the sum of its proper divisors (71565096).

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

41680896 is an frugal number, since it uses more digits than its factorization.

41680896 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 92 (or 58 counting only the distinct ones).

The product of its (nonzero) digits is 82944, while the sum is 42.

The square root of 41680896 is about 6456.0743490143. The cubic root of 41680896 is about 346.7200969585.

The spelling of 41680896 in words is "forty-one million, six hundred eighty thousand, eight hundred ninety-six".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 53 64 96 106 128 159 192 212 256 318 384 424 512 636 768 848 1024 1272 1536 1696 2048 2544 3072 3392 4096 5088 6144 6784 8192 10176 12288 13568 16384 20352 24576 27136 32768 40704 49152 54272 65536 81408 98304 108544 131072 162816 196608 217088 262144 325632 393216 434176 651264 786432 868352 1302528 1736704 2605056 3473408 5210112 6946816 10420224 13893632 20840448 41680896