Search a number
-
+
75425504 = 2572114373
BaseRepresentation
bin1000111111011…
…10011011100000
312020221000100012
410133232123200
5123302104004
611252344052
71604051300
oct437563340
9166830305
1075425504
1139637330
1221315028
131281b19b
14a035600
15694d46e
hex47ee6e0

75425504 has 72 divisors (see below), whose sum is σ = 188484408. Its totient is φ = 29379840.

The previous prime is 75425489. The next prime is 75425509. The reversal of 75425504 is 40552457.

It is a super-3 number, since 3×754255043 (a number of 25 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (32).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (75425509) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 15062 + ... + 19434.

It is an arithmetic number, because the mean of its divisors is an integer number (2617839).

Almost surely, 275425504 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 75425504, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (94242204).

75425504 is an abundant number, since it is smaller than the sum of its proper divisors (113058904).

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

75425504 is a wasteful number, since it uses less digits than its factorization.

75425504 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4408 (or 4393 counting only the distinct ones).

The product of its (nonzero) digits is 28000, while the sum is 32.

The square root of 75425504 is about 8684.7857774386. The cubic root of 75425504 is about 422.5123491133.

The spelling of 75425504 in words is "seventy-five million, four hundred twenty-five thousand, five hundred four".

Divisors: 1 2 4 7 8 11 14 16 22 28 32 44 49 56 77 88 98 112 154 176 196 224 308 352 392 539 616 784 1078 1232 1568 2156 2464 4312 4373 8624 8746 17248 17492 30611 34984 48103 61222 69968 96206 122444 139936 192412 214277 244888 336721 384824 428554 489776 673442 769648 857108 979552 1346884 1539296 1714216 2357047 2693768 3428432 4714094 5387536 6856864 9428188 10775072 18856376 37712752 75425504