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75230424 = 23331923797
BaseRepresentation
bin1000111101111…
…10110011011000
312020120002202000
410132332303120
5123224333144
611244241000
71602306453
oct436766330
9166502660
1075230424
1139513805
1221240160
1312780459
149dc449a
156910769
hex47becd8

75230424 has 128 divisors (see below), whose sum is σ = 229824000. Its totient is φ = 22695552.

The previous prime is 75230411. The next prime is 75230429. The reversal of 75230424 is 42403257.

75230424 is a `hidden beast` number, since 7 + 5 + 230 + 424 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (75230429) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 93994 + ... + 94790.

It is an arithmetic number, because the mean of its divisors is an integer number (1795500).

Almost surely, 275230424 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 75230424, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (114912000).

75230424 is an abundant number, since it is smaller than the sum of its proper divisors (154593576).

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

75230424 is a wasteful number, since it uses less digits than its factorization.

75230424 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 854 (or 844 counting only the distinct ones).

The product of its (nonzero) digits is 6720, while the sum is 27.

The square root of 75230424 is about 8673.5473711740. The cubic root of 75230424 is about 422.1477736182.

The spelling of 75230424 in words is "seventy-five million, two hundred thirty thousand, four hundred twenty-four".

Divisors: 1 2 3 4 6 8 9 12 18 19 23 24 27 36 38 46 54 57 69 72 76 92 108 114 138 152 171 184 207 216 228 276 342 414 437 456 513 552 621 684 797 828 874 1026 1242 1311 1368 1594 1656 1748 2052 2391 2484 2622 3188 3496 3933 4104 4782 4968 5244 6376 7173 7866 9564 10488 11799 14346 15143 15732 18331 19128 21519 23598 28692 30286 31464 36662 43038 45429 47196 54993 57384 60572 73324 86076 90858 94392 109986 121144 136287 146648 164979 172152 181716 219972 272574 329958 348289 363432 408861 439944 494937 545148 659916 696578 817722 989874 1044867 1090296 1319832 1393156 1635444 1979748 2089734 2786312 3134601 3270888 3959496 4179468 6269202 8358936 9403803 12538404 18807606 25076808 37615212 75230424