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75080742 = 23112195443
BaseRepresentation
bin1000111100110…
…10010000100110
312020021111102020
410132122100212
5123210040432
611241124010
71601114202
oct436322046
9166244366
1075080742
1139421300
1221189606
131272a299
149d85b02
1568d122c
hex479a426

75080742 has 48 divisors (see below), whose sum is σ = 173772480. Its totient is φ = 21550320.

The previous prime is 75080741. The next prime is 75080743. The reversal of 75080742 is 24708057.

It is an interprime number because it is at equal distance from previous prime (75080741) and next prime (75080743).

It is a hoax number, since the sum of its digits (33) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (75080741) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 11073 + ... + 16515.

It is an arithmetic number, because the mean of its divisors is an integer number (3620260).

Almost surely, 275080742 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 75080742, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (86886240).

75080742 is an abundant number, since it is smaller than the sum of its proper divisors (98691738).

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

75080742 is a wasteful number, since it uses less digits than its factorization.

75080742 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5489 (or 5478 counting only the distinct ones).

The product of its (nonzero) digits is 15680, while the sum is 33.

The square root of 75080742 is about 8664.9144254286. The cubic root of 75080742 is about 421.8676126882.

Adding to 75080742 its reverse (24708057), we get a palindrome (99788799).

The spelling of 75080742 in words is "seventy-five million, eighty thousand, seven hundred forty-two".

Divisors: 1 2 3 6 11 19 22 33 38 57 66 114 121 209 242 363 418 627 726 1254 2299 4598 5443 6897 10886 13794 16329 32658 59873 103417 119746 179619 206834 310251 359238 620502 658603 1137587 1317206 1975809 2275174 3412761 3951618 6825522 12513457 25026914 37540371 75080742