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41426496 = 2632235359
BaseRepresentation
bin1001111000000…
…1111001000000
32212221200110200
42132001321000
541101121441
64035525200
71012055646
oct236017100
985850420
1041426496
1121425381
1211a59800
138775c27
145705196
1539847b6
hex2781e40

41426496 has 168 divisors, whose sum is σ = 128381760. Its totient is φ = 12739584.

The previous prime is 41426461. The next prime is 41426531. The reversal of 41426496 is 69462414.

41426496 is a `hidden beast` number, since 4 + 1 + 4 + 2 + 649 + 6 = 666.

It is an interprime number because it is at equal distance from previous prime (41426461) and next prime (41426531).

It is a Harshad number since it is a multiple of its sum of digits (36).

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

It is a self number, because there is not a number n which added to its sum of digits gives 41426496.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 702115 + ... + 702173.

Almost surely, 241426496 is an apocalyptic number.

41426496 is a gapful number since it is divisible by the number (46) formed by its first and last digit.

41426496 is the 4071-st heptagonal number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 41426496, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (64190880).

41426496 is an abundant number, since it is smaller than the sum of its proper divisors (86955264).

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

41426496 is a wasteful number, since it uses less digits than its factorization.

41426496 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 153 (or 140 counting only the distinct ones).

The product of its digits is 41472, while the sum is 36.

The square root of 41426496 is about 6436.3418181448. The cubic root of 41426496 is about 346.0132530814.

It can be divided in two parts, 414 and 26496, that multiplied together give a square (10969344 = 33122).

The spelling of 41426496 in words is "forty-one million, four hundred twenty-six thousand, four hundred ninety-six".