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75070464 = 210373491
BaseRepresentation
bin1000111100101…
…11110000000000
312020020222022120
410132113300000
5123204223324
611241004240
71601042220
oct436276000
9166228276
1075070464
1139414607
1221183680
13127256c1
149d82080
1568cd179
hex4797c00

75070464 has 88 divisors (see below), whose sum is σ = 228739968. Its totient is φ = 21442560.

The previous prime is 75070433. The next prime is 75070477. The reversal of 75070464 is 46407057.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 19759 + ... + 23249.

Almost surely, 275070464 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 75070464, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (114369984).

75070464 is an abundant number, since it is smaller than the sum of its proper divisors (153669504).

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

75070464 is a wasteful number, since it uses less digits than its factorization.

75070464 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3521 (or 3503 counting only the distinct ones).

The product of its (nonzero) digits is 23520, while the sum is 33.

The square root of 75070464 is about 8664.3213236814. The cubic root of 75070464 is about 421.8483616212.

The spelling of 75070464 in words is "seventy-five million, seventy thousand, four hundred sixty-four".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 32 42 48 56 64 84 96 112 128 168 192 224 256 336 384 448 512 672 768 896 1024 1344 1536 1792 2688 3072 3491 3584 5376 6982 7168 10473 10752 13964 20946 21504 24437 27928 41892 48874 55856 73311 83784 97748 111712 146622 167568 195496 223424 293244 335136 390992 446848 586488 670272 781984 893696 1172976 1340544 1563968 1787392 2345952 2681088 3127936 3574784 4691904 5362176 6255872 9383808 10724352 12511744 18767616 25023488 37535232 75070464