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41400928 = 253773479
BaseRepresentation
bin1001110111101…
…1101001100000
32212220101101201
42131323221200
541044312203
64035210544
71011621262
oct235735140
985811351
1041400928
1121408148
1211a46a54
1387673ba
1456d9b32
15397be1d
hex277ba60

41400928 has 48 divisors (see below), whose sum is σ = 85034880. Its totient is φ = 19823616.

The previous prime is 41400923. The next prime is 41401013. The reversal of 41400928 is 82900414.

It is a super-2 number, since 2×414009282 = 3428073678522368, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 41400896 and 41400905.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (41400923) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 86193 + ... + 86671.

It is an arithmetic number, because the mean of its divisors is an integer number (1771560).

Almost surely, 241400928 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 41400928, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (42517440).

41400928 is an abundant number, since it is smaller than the sum of its proper divisors (43633952).

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

41400928 is a wasteful number, since it uses less digits than its factorization.

41400928 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 599 (or 591 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 28.

The square root of 41400928 is about 6434.3552901592. The cubic root of 41400928 is about 345.9420531780.

The spelling of 41400928 in words is "forty-one million, four hundred thousand, nine hundred twenty-eight".

Divisors: 1 2 4 8 16 32 37 73 74 146 148 292 296 479 584 592 958 1168 1184 1916 2336 2701 3832 5402 7664 10804 15328 17723 21608 34967 35446 43216 69934 70892 86432 139868 141784 279736 283568 559472 567136 1118944 1293779 2587558 5175116 10350232 20700464 41400928