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75030672 = 2433783509
BaseRepresentation
bin1000111100011…
…10000010010000
312020011221201210
410132032002100
5123201440142
611240100120
71600515213
oct436160220
9166157653
1075030672
1139397722
1221164640
1312710562
149d7177a
1568c149c
hex478e090

75030672 has 80 divisors (see below), whose sum is σ = 201862080. Its totient is φ = 23993856.

The previous prime is 75030667. The next prime is 75030679. The reversal of 75030672 is 27603057.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (75030679) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 147154 + ... + 147662.

It is an arithmetic number, because the mean of its divisors is an integer number (2523276).

Almost surely, 275030672 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 75030672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (100931040).

75030672 is an abundant number, since it is smaller than the sum of its proper divisors (126831408).

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

75030672 is a wasteful number, since it uses less digits than its factorization.

75030672 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 640 (or 634 counting only the distinct ones).

The product of its (nonzero) digits is 8820, while the sum is 30.

The square root of 75030672 is about 8662.0247055755. The cubic root of 75030672 is about 421.7738131863.

The spelling of 75030672 in words is "seventy-five million, thirty thousand, six hundred seventy-two".

Divisors: 1 2 3 4 6 8 12 16 24 37 48 74 83 111 148 166 222 249 296 332 444 498 509 592 664 888 996 1018 1328 1527 1776 1992 2036 3054 3071 3984 4072 6108 6142 8144 9213 12216 12284 18426 18833 24432 24568 36852 37666 42247 49136 56499 73704 75332 84494 112998 126741 147408 150664 168988 225996 253482 301328 337976 451992 506964 675952 903984 1013928 1563139 2027856 3126278 4689417 6252556 9378834 12505112 18757668 25010224 37515336 75030672