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241380048 = 24371373757
BaseRepresentation
bin11100110001100…
…10101011010000
3121211012101011210
432120302223100
5443243130143
635541340120
75660460630
oct1630625320
9554171153
10241380048
11114286448
1268a07640
133b015040
14240b46c0
15162d0033
hexe632ad0

241380048 has 160 divisors (see below), whose sum is σ = 779005696. Its totient is φ = 62705664.

The previous prime is 241380037. The next prime is 241380053. The reversal of 241380048 is 840083142.

It is a junction number, because it is equal to n+sod(n) for n = 241379997 and 241380024.

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 31 ways as a sum of consecutive naturals, for example, 318486 + ... + 319242.

Almost surely, 2241380048 is an apocalyptic number.

241380048 is a gapful number since it is divisible by the number (28) 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 241380048, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (389502848).

241380048 is an abundant number, since it is smaller than the sum of its proper divisors (537625648).

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

241380048 is a wasteful number, since it uses less digits than its factorization.

241380048 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 861 (or 855 counting only the distinct ones).

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

The square root of 241380048 is about 15536.4103962273. The cubic root of 241380048 is about 622.6353725686.

The spelling of 241380048 in words is "two hundred forty-one million, three hundred eighty thousand, forty-eight".

Divisors: 1 2 3 4 6 7 8 12 13 14 16 21 24 26 28 39 42 48 52 56 73 78 84 91 104 112 146 156 168 182 208 219 273 292 312 336 364 438 511 546 584 624 728 757 876 949 1022 1092 1168 1456 1514 1533 1752 1898 2044 2184 2271 2847 3028 3066 3504 3796 4088 4368 4542 5299 5694 6056 6132 6643 7592 8176 9084 9841 10598 11388 12112 12264 13286 15184 15897 18168 19682 19929 21196 22776 24528 26572 29523 31794 36336 39364 39858 42392 45552 53144 55261 59046 63588 68887 78728 79716 84784 106288 110522 118092 127176 137774 157456 159432 165783 206661 221044 236184 254352 275548 318864 331566 386827 413322 442088 472368 551096 663132 718393 773654 826644 884176 1102192 1160481 1326264 1436786 1547308 1653288 2155179 2320962 2652528 2873572 3094616 3306576 4310358 4641924 5028751 5747144 6189232 8620716 9283848 10057502 11494288 15086253 17241432 18567696 20115004 30172506 34482864 40230008 60345012 80460016 120690024 241380048