Search a number
-
+
75028572 = 22331993491
BaseRepresentation
bin1000111100011…
…01100001011100
312020011211212000
410132031201130
5123201403242
611240042300
71600506123
oct436154134
9166154760
1075028572
1139396093
1221163390
131270c608
149d70aba
1568c0a4c
hex478d85c

75028572 has 48 divisors (see below), whose sum is σ = 195552000. Its totient is φ = 24876720.

The previous prime is 75028567. The next prime is 75028601. The reversal of 75028572 is 27582057.

75028572 is a `hidden beast` number, since 7 + 502 + 85 + 72 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 19747 + ... + 23237.

It is an arithmetic number, because the mean of its divisors is an integer number (4074000).

Almost surely, 275028572 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 75028572, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (97776000).

75028572 is an abundant number, since it is smaller than the sum of its proper divisors (120523428).

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

75028572 is a wasteful number, since it uses less digits than its factorization.

75028572 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3703 (or 3695 counting only the distinct ones).

The product of its (nonzero) digits is 39200, while the sum is 36.

The square root of 75028572 is about 8661.9034859550. The cubic root of 75028572 is about 421.7698782032.

The spelling of 75028572 in words is "seventy-five million, twenty-eight thousand, five hundred seventy-two".

Divisors: 1 2 3 4 6 9 12 18 27 36 54 108 199 398 597 796 1194 1791 2388 3491 3582 5373 6982 7164 10473 10746 13964 20946 21492 31419 41892 62838 94257 125676 188514 377028 694709 1389418 2084127 2778836 4168254 6252381 8336508 12504762 18757143 25009524 37514286 75028572