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75228540 = 22355979269
BaseRepresentation
bin1000111101111…
…10010101111100
312020120000011020
410132332111330
5123224303130
611244224140
71602301122
oct436762574
9166500136
1075228540
1139512352
122123b050
131277c63a
149dc3912
15690ee10
hex47be57c

75228540 has 96 divisors (see below), whose sum is σ = 217728000. Its totient is φ = 19398912.

The previous prime is 75228539. The next prime is 75228541. The reversal of 75228540 is 4582257.

It is an interprime number because it is at equal distance from previous prime (75228539) and next prime (75228541).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (75228541) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 279526 + ... + 279794.

It is an arithmetic number, because the mean of its divisors is an integer number (2268000).

Almost surely, 275228540 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 75228540, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (108864000).

75228540 is an abundant number, since it is smaller than the sum of its proper divisors (142499460).

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

75228540 is a wasteful number, since it uses less digits than its factorization.

75228540 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 419 (or 417 counting only the distinct ones).

The product of its (nonzero) digits is 22400, while the sum is 33.

The square root of 75228540 is about 8673.4387644117. The cubic root of 75228540 is about 422.1442496315.

It can be divided in two parts, 752 and 28540, that added together give a palindrome (29292).

The spelling of 75228540 in words is "seventy-five million, two hundred twenty-eight thousand, five hundred forty".

Divisors: 1 2 3 4 5 6 10 12 15 20 30 59 60 79 118 158 177 236 237 269 295 316 354 395 474 538 590 708 790 807 885 948 1076 1180 1185 1345 1580 1614 1770 2370 2690 3228 3540 4035 4661 4740 5380 8070 9322 13983 15871 16140 18644 21251 23305 27966 31742 42502 46610 47613 55932 63484 63753 69915 79355 85004 93220 95226 106255 127506 139830 158710 190452 212510 238065 255012 279660 317420 318765 425020 476130 637530 952260 1253809 1275060 2507618 3761427 5015236 6269045 7522854 12538090 15045708 18807135 25076180 37614270 75228540