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41320896 = 2631947241
BaseRepresentation
bin1001110110100…
…0000111000000
32212202022121120
42131220013000
541034232041
64033352240
71011136041
oct235500700
985668546
1041320896
1121363001
1211a08680
138739b46
1456b88c8
153963366
hex27681c0

41320896 has 112 divisors (see below), whose sum is σ = 118018560. Its totient is φ = 12718080.

The previous prime is 41320889. The next prime is 41320913. The reversal of 41320896 is 69802314.

It is a hoax number, since the sum of its digits (33) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 171336 + ... + 171576.

Almost surely, 241320896 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 41320896, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (59009280).

41320896 is an abundant number, since it is smaller than the sum of its proper divisors (76697664).

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

41320896 is a wasteful number, since it uses less digits than its factorization.

41320896 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 322 (or 312 counting only the distinct ones).

The product of its (nonzero) digits is 10368, while the sum is 33.

The square root of 41320896 is about 6428.1331660133. The cubic root of 41320896 is about 345.7189962313.

The spelling of 41320896 in words is "forty-one million, three hundred twenty thousand, eight hundred ninety-six".

Divisors: 1 2 3 4 6 8 12 16 19 24 32 38 47 48 57 64 76 94 96 114 141 152 188 192 228 241 282 304 376 456 482 564 608 723 752 893 912 964 1128 1216 1446 1504 1786 1824 1928 2256 2679 2892 3008 3572 3648 3856 4512 4579 5358 5784 7144 7712 9024 9158 10716 11327 11568 13737 14288 15424 18316 21432 22654 23136 27474 28576 33981 36632 42864 45308 46272 54948 57152 67962 73264 85728 90616 109896 135924 146528 171456 181232 215213 219792 271848 293056 362464 430426 439584 543696 645639 724928 860852 879168 1087392 1291278 1721704 2174784 2582556 3443408 5165112 6886816 10330224 13773632 20660448 41320896