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241243848 = 233237137661
BaseRepresentation
bin11100110000100…
…01011011001000
3121210221110100100
432120101123020
5443224300343
635534405400
75656352556
oct1630213310
9553843310
10241243848
111141a308a
1268960860
133ac98051
142407abd6
15162a49d3
hexe6116c8

241243848 has 96 divisors (see below), whose sum is σ = 676947960. Its totient is φ = 77552640.

The previous prime is 241243843. The next prime is 241243901. The reversal of 241243848 is 848342142.

It can be written as a sum of positive squares in 4 ways, for example, as 240932484 + 311364 = 15522^2 + 558^2 .

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 not an unprimeable number, because it can be changed into a prime (241243841) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 364638 + ... + 365298.

Almost surely, 2241243848 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 241243848, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (338473980).

241243848 is an abundant number, since it is smaller than the sum of its proper divisors (435704112).

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

241243848 is a wasteful number, since it uses less digits than its factorization.

241243848 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 847 (or 840 counting only the distinct ones).

The product of its digits is 49152, while the sum is 36.

The square root of 241243848 is about 15532.0265258594. The cubic root of 241243848 is about 622.5182420744.

It can be divided in two parts, 24124 and 3848, that added together give a palindrome (27972).

The spelling of 241243848 in words is "two hundred forty-one million, two hundred forty-three thousand, eight hundred forty-eight".

Divisors: 1 2 3 4 6 8 9 12 18 24 36 37 72 74 111 137 148 222 274 296 333 411 444 548 661 666 822 888 1096 1233 1322 1332 1644 1983 2466 2644 2664 3288 3966 4932 5069 5288 5949 7932 9864 10138 11898 15207 15864 20276 23796 24457 30414 40552 45621 47592 48914 60828 73371 90557 91242 97828 121656 146742 181114 182484 195656 220113 271671 293484 362228 364968 440226 543342 586968 724456 815013 880452 1086684 1630026 1760904 2173368 3260052 3350609 6520104 6701218 10051827 13402436 20103654 26804872 30155481 40207308 60310962 80414616 120621924 241243848