Search a number
-
+
75421792 = 2517197297
BaseRepresentation
bin1000111111011…
…01100001100000
312020220211020201
410133231201200
5123301444132
611252314544
71604034415
oct437554140
9166824221
1075421792
1139634566
1221312a54
13128195a4
14a03410c
15694c2e7
hex47ed860

75421792 has 48 divisors (see below), whose sum is σ = 165518640. Its totient is φ = 33619968.

The previous prime is 75421789. The next prime is 75421823. The reversal of 75421792 is 29712457.

It is a super-3 number, since 3×754217923 (a number of 25 digits) contains 333 as substring.

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 7 ways as a sum of consecutive naturals, for example, 6688 + ... + 13984.

It is an arithmetic number, because the mean of its divisors is an integer number (3448305).

Almost surely, 275421792 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 75421792, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (82759320).

75421792 is an abundant number, since it is smaller than the sum of its proper divisors (90096848).

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

75421792 is a wasteful number, since it uses less digits than its factorization.

75421792 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7343 (or 7335 counting only the distinct ones).

The product of its digits is 35280, while the sum is 37.

The square root of 75421792 is about 8684.5720677533. The cubic root of 75421792 is about 422.5054178081.

The spelling of 75421792 in words is "seventy-five million, four hundred twenty-one thousand, seven hundred ninety-two".

Divisors: 1 2 4 8 16 17 19 32 34 38 68 76 136 152 272 304 323 544 608 646 1292 2584 5168 7297 10336 14594 29188 58376 116752 124049 138643 233504 248098 277286 496196 554572 992392 1109144 1984784 2218288 2356931 3969568 4436576 4713862 9427724 18855448 37710896 75421792