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241375056 = 243131792161
BaseRepresentation
bin11100110001100…
…01011101010000
3121211012010022220
432120301131100
5443243000211
635541301040
75660440236
oct1630613520
9554163286
10241375056
1111428271a
1268a04780
133b0129a0
14240b2956
15162cd806
hexe631750

241375056 has 80 divisors (see below), whose sum is σ = 675581760. Its totient is φ = 73820160.

The previous prime is 241375037. The next prime is 241375063. The reversal of 241375056 is 650573142.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 110616 + ... + 112776.

It is an arithmetic number, because the mean of its divisors is an integer number (8444772).

Almost surely, 2241375056 is an apocalyptic number.

241375056 is a gapful number since it is divisible by the number (26) 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 241375056, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (337790880).

241375056 is an abundant number, since it is smaller than the sum of its proper divisors (434206704).

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

241375056 is a wasteful number, since it uses less digits than its factorization.

241375056 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2364 (or 2358 counting only the distinct ones).

The product of its (nonzero) digits is 25200, while the sum is 33.

The square root of 241375056 is about 15536.2497405262. The cubic root of 241375056 is about 622.6310802817.

The spelling of 241375056 in words is "two hundred forty-one million, three hundred seventy-five thousand, fifty-six".

Divisors: 1 2 3 4 6 8 12 13 16 24 26 39 48 52 78 104 156 179 208 312 358 537 624 716 1074 1432 2148 2161 2327 2864 4296 4322 4654 6483 6981 8592 8644 9308 12966 13962 17288 18616 25932 27924 28093 34576 37232 51864 55848 56186 84279 103728 111696 112372 168558 224744 337116 386819 449488 674232 773638 1160457 1348464 1547276 2320914 3094552 4641828 5028647 6189104 9283656 10057294 15085941 18567312 20114588 30171882 40229176 60343764 80458352 120687528 241375056