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41148640 = 2551373271
BaseRepresentation
bin1001110011111…
…0000011100000
32212102120022201
42130332003200
541013224030
64025542544
71006520611
oct234760340
985376281
1041148640
1121255645
1211944a54
1386a9610
145671c08
15392c2ca
hex273e0e0

41148640 has 96 divisors (see below), whose sum is σ = 106517376. Its totient is φ = 14929920.

The previous prime is 41148631. The next prime is 41148643. The reversal of 41148640 is 4684114.

It is a junction number, because it is equal to n+sod(n) for n = 41148599 and 41148608.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (41148643) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 151705 + ... + 151975.

It is an arithmetic number, because the mean of its divisors is an integer number (1109556).

Almost surely, 241148640 is an apocalyptic number.

41148640 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 41148640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (53258688).

41148640 is an abundant number, since it is smaller than the sum of its proper divisors (65368736).

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

41148640 is a wasteful number, since it uses less digits than its factorization.

41148640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 372 (or 364 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 28.

The square root of 41148640 is about 6414.7205706874. The cubic root of 41148640 is about 345.2379231194.

The spelling of 41148640 in words is "forty-one million, one hundred forty-eight thousand, six hundred forty".

Divisors: 1 2 4 5 8 10 13 16 20 26 32 40 52 65 73 80 104 130 146 160 208 260 271 292 365 416 520 542 584 730 949 1040 1084 1168 1355 1460 1898 2080 2168 2336 2710 2920 3523 3796 4336 4745 5420 5840 7046 7592 8672 9490 10840 11680 14092 15184 17615 18980 19783 21680 28184 30368 35230 37960 39566 43360 56368 70460 75920 79132 98915 112736 140920 151840 158264 197830 257179 281840 316528 395660 514358 563680 633056 791320 1028716 1285895 1582640 2057432 2571790 3165280 4114864 5143580 8229728 10287160 20574320 41148640