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41007978 = 233111731131
BaseRepresentation
bin1001110001101…
…1101101101010
32212011102101000
42130123231222
540444223403
64022535430
71005363534
oct234335552
985142330
1041007978
11211699a0
1211897576
13865a59b
145636854
1539007a3
hex271bb6a

41007978 has 128 divisors (see below), whose sum is σ = 109486080. Its totient is φ = 11232000.

The previous prime is 41007977. The next prime is 41008027. The reversal of 41007978 is 87970014.

It is not an unprimeable number, because it can be changed into a prime (41007971) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 312973 + ... + 313103.

It is an arithmetic number, because the mean of its divisors is an integer number (855360).

Almost surely, 241007978 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 41007978, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (54743040).

41007978 is an abundant number, since it is smaller than the sum of its proper divisors (68478102).

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

41007978 is a wasteful number, since it uses less digits than its factorization.

41007978 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 201 (or 195 counting only the distinct ones).

The product of its (nonzero) digits is 14112, while the sum is 36.

The square root of 41007978 is about 6403.7471842664. The cubic root of 41007978 is about 344.8440883415.

The spelling of 41007978 in words is "forty-one million, seven thousand, nine hundred seventy-eight".

Divisors: 1 2 3 6 9 11 17 18 22 27 31 33 34 51 54 62 66 93 99 102 131 153 186 187 198 262 279 297 306 341 374 393 459 527 558 561 594 682 786 837 918 1023 1054 1122 1179 1441 1581 1674 1683 2046 2227 2358 2882 3069 3162 3366 3537 4061 4323 4454 4743 5049 5797 6138 6681 7074 8122 8646 9207 9486 10098 11594 12183 12969 13362 14229 17391 18414 20043 24366 24497 25938 28458 34782 36549 38907 40086 44671 48994 52173 60129 69037 73098 73491 77814 89342 104346 109647 120258 134013 138074 146982 156519 207111 219294 220473 268026 313038 402039 414222 440946 621333 661419 759407 804078 1206117 1242666 1322838 1518814 1863999 2278221 2412234 3727998 4556442 6834663 13669326 20503989 41007978