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75113248 = 2572931373
BaseRepresentation
bin1000111101000…
…10001100100000
312020100011000011
410132202030200
5123212110443
611241534304
71601311030
oct436421440
9166304004
1075113248
1139443771
12211a4394
131273c012
149d938c0
1568dab9d
hex47a2320

75113248 has 96 divisors (see below), whose sum is σ = 180956160. Its totient is φ = 29998080.

The previous prime is 75113221. The next prime is 75113263. The reversal of 75113248 is 84231157.

It is a Harshad number since it is a multiple of its sum of digits (31).

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 201190 + ... + 201562.

It is an arithmetic number, because the mean of its divisors is an integer number (1884960).

Almost surely, 275113248 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 75113248, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (90478080).

75113248 is an abundant number, since it is smaller than the sum of its proper divisors (105842912).

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

75113248 is a wasteful number, since it uses less digits than its factorization.

75113248 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 450 (or 442 counting only the distinct ones).

The product of its digits is 6720, while the sum is 31.

The square root of 75113248 is about 8666.7899478411. The cubic root of 75113248 is about 421.9284860435.

The spelling of 75113248 in words is "seventy-five million, one hundred thirteen thousand, two hundred forty-eight".

Divisors: 1 2 4 7 8 14 16 28 29 31 32 56 58 62 112 116 124 203 217 224 232 248 373 406 434 464 496 746 812 868 899 928 992 1492 1624 1736 1798 2611 2984 3248 3472 3596 5222 5968 6293 6496 6944 7192 10444 10817 11563 11936 12586 14384 20888 21634 23126 25172 28768 41776 43268 46252 50344 75719 80941 83552 86536 92504 100688 151438 161882 173072 185008 201376 302876 323764 335327 346144 370016 605752 647528 670654 1211504 1295056 1341308 2347289 2423008 2590112 2682616 4694578 5365232 9389156 10730464 18778312 37556624 75113248