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241148928 = 2103233413
BaseRepresentation
bin11100101111110…
…10010000000000
3121210202122010210
432113322100000
5443213231203
635532354120
75655506046
oct1627722000
9553678123
10241148928
11114138839
1268915940
133ac63a97
1424054396
1516286803
hexe5fa400

241148928 has 88 divisors (see below), whose sum is σ = 670891968. Its totient is φ = 76865536.

The previous prime is 241148923. The next prime is 241148933. The reversal of 241148928 is 829841142.

It is an interprime number because it is at equal distance from previous prime (241148923) and next prime (241148933).

It is a Smith number, since the sum of its digits (39) coincides with the sum of the digits of its prime factors.

It is not an unprimeable number, because it can be changed into a prime (241148923) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 68950 + ... + 72362.

Almost surely, 2241148928 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 241148928, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (335445984).

241148928 is an abundant number, since it is smaller than the sum of its proper divisors (429743040).

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

241148928 is a wasteful number, since it uses less digits than its factorization.

241148928 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3459 (or 3441 counting only the distinct ones).

The product of its digits is 36864, while the sum is 39.

The square root of 241148928 is about 15528.9706033594. The cubic root of 241148928 is about 622.4365858532.

The spelling of 241148928 in words is "two hundred forty-one million, one hundred forty-eight thousand, nine hundred twenty-eight".

Divisors: 1 2 3 4 6 8 12 16 23 24 32 46 48 64 69 92 96 128 138 184 192 256 276 368 384 512 552 736 768 1024 1104 1472 1536 2208 2944 3072 3413 4416 5888 6826 8832 10239 11776 13652 17664 20478 23552 27304 35328 40956 54608 70656 78499 81912 109216 156998 163824 218432 235497 313996 327648 436864 470994 627992 655296 873728 941988 1255984 1310592 1747456 1883976 2511968 2621184 3494912 3767952 5023936 5242368 7535904 10047872 10484736 15071808 20095744 30143616 40191488 60287232 80382976 120574464 241148928