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241037272 = 23726071013
BaseRepresentation
bin11100101110111…
…10111111011000
3121210112221222101
432113132333120
5443201143042
635530133144
75654532400
oct1627367730
9553487871
10241037272
11114071963
12688811b4
133ac25008
1424025800
15162636b7
hexe5defd8

241037272 has 48 divisors (see below), whose sum is σ = 527117760. Its totient is φ = 103029696.

The previous prime is 241037239. The next prime is 241037281. The reversal of 241037272 is 272730142.

It is a Harshad number since it is a multiple of its sum of digits (28).

It is a self number, because there is not a number n which added to its sum of digits gives 241037272.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 237438 + ... + 238450.

It is an arithmetic number, because the mean of its divisors is an integer number (10981620).

Almost surely, 2241037272 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 241037272, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (263558880).

241037272 is an abundant number, since it is smaller than the sum of its proper divisors (286080488).

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

241037272 is a wasteful number, since it uses less digits than its factorization.

241037272 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1640 (or 1629 counting only the distinct ones).

The product of its (nonzero) digits is 4704, while the sum is 28.

The square root of 241037272 is about 15525.3751001385. The cubic root of 241037272 is about 622.3405048282.

It can be divided in two parts, 24103 and 7272, that added together give a triangular number (31375 = T250).

The spelling of 241037272 in words is "two hundred forty-one million, thirty-seven thousand, two hundred seventy-two".

Divisors: 1 2 4 7 8 14 28 49 56 98 196 392 607 1013 1214 2026 2428 4052 4249 4856 7091 8104 8498 14182 16996 28364 29743 33992 49637 56728 59486 99274 118972 198548 237944 397096 614891 1229782 2459564 4304237 4919128 8608474 17216948 30129659 34433896 60259318 120518636 241037272