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41421648 = 2433783281
BaseRepresentation
bin1001111000000…
…0101101010000
32212221102211010
42132000231100
541100443043
64035450520
71012035552
oct236005520
985842733
1041421648
1121421774
1211a56a40
138773968
1457034d2
153983133
hex2780b50

41421648 has 80 divisors (see below), whose sum is σ = 111617856. Its totient is φ = 13224960.

The previous prime is 41421647. The next prime is 41421649. The reversal of 41421648 is 84612414.

It is an interprime number because it is at equal distance from previous prime (41421647) and next prime (41421649).

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (41421641) 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, 147268 + ... + 147548.

Almost surely, 241421648 is an apocalyptic number.

41421648 is a gapful number since it is divisible by the number (48) 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 41421648, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (55808928).

41421648 is an abundant number, since it is smaller than the sum of its proper divisors (70196208).

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

41421648 is a wasteful number, since it uses less digits than its factorization.

41421648 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 412 (or 406 counting only the distinct ones).

The product of its digits is 6144, while the sum is 30.

The square root of 41421648 is about 6435.9651956797. The cubic root of 41421648 is about 345.9997549755. Note that the first 3 decimals are identical.

The spelling of 41421648 in words is "forty-one million, four hundred twenty-one thousand, six hundred forty-eight".

Divisors: 1 2 3 4 6 8 12 16 24 37 48 74 83 111 148 166 222 249 281 296 332 444 498 562 592 664 843 888 996 1124 1328 1686 1776 1992 2248 3071 3372 3984 4496 6142 6744 9213 10397 12284 13488 18426 20794 23323 24568 31191 36852 41588 46646 49136 62382 69969 73704 83176 93292 124764 139938 147408 166352 186584 249528 279876 373168 499056 559752 862951 1119504 1725902 2588853 3451804 5177706 6903608 10355412 13807216 20710824 41421648