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41554968 = 23371353359
BaseRepresentation
bin1001111010000…
…1010000011000
32220012012200220
42132201100120
541114224333
64042400040
71013132340
oct236412030
986165626
1041554968
1121502954
1211b00020
1387bc550
145739d20
1539ac8b3
hex27a1418

41554968 has 128 divisors (see below), whose sum is σ = 130636800. Its totient is φ = 10722816.

The previous prime is 41554967. The next prime is 41554979. The reversal of 41554968 is 86945514.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (41554967) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 115573 + ... + 115931.

It is an arithmetic number, because the mean of its divisors is an integer number (1020600).

Almost surely, 241554968 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 41554968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (65318400).

41554968 is an abundant number, since it is smaller than the sum of its proper divisors (89081832).

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

41554968 is a wasteful number, since it uses less digits than its factorization.

41554968 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 441 (or 437 counting only the distinct ones).

The product of its digits is 172800, while the sum is 42.

The square root of 41554968 is about 6446.3142957817. The cubic root of 41554968 is about 346.3705698177.

The spelling of 41554968 in words is "forty-one million, five hundred fifty-four thousand, nine hundred sixty-eight".

Divisors: 1 2 3 4 6 7 8 12 13 14 21 24 26 28 39 42 52 53 56 78 84 91 104 106 156 159 168 182 212 273 312 318 359 364 371 424 546 636 689 718 728 742 1077 1092 1113 1272 1378 1436 1484 2067 2154 2184 2226 2513 2756 2872 2968 4134 4308 4452 4667 4823 5026 5512 7539 8268 8616 8904 9334 9646 10052 14001 14469 15078 16536 18668 19027 19292 20104 28002 28938 30156 32669 37336 38054 38584 56004 57081 57876 60312 65338 76108 98007 112008 114162 115752 130676 133189 152216 196014 228324 247351 261352 266378 392028 399567 456648 494702 532756 742053 784056 799134 989404 1065512 1484106 1598268 1731457 1978808 2968212 3196536 3462914 5194371 5936424 6925828 10388742 13851656 20777484 41554968