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75023472 = 24331127397
BaseRepresentation
bin1000111100011…
…00010001110000
312020011120212010
410132030101300
5123201222342
611240002520
71600455216
oct436142160
9166146763
1075023472
1139392277
1221160440
131270a1b4
149d6ccb6
1568be29c
hex478c470

75023472 has 80 divisors (see below), whose sum is σ = 202145792. Its totient is φ = 23950080.

The previous prime is 75023471. The next prime is 75023477. The reversal of 75023472 is 27432057.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (75023471) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 188778 + ... + 189174.

Almost surely, 275023472 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 75023472, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (101072896).

75023472 is an abundant number, since it is smaller than the sum of its proper divisors (127122320).

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

75023472 is a wasteful number, since it uses less digits than its factorization.

75023472 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 566 (or 560 counting only the distinct ones).

The product of its (nonzero) digits is 11760, while the sum is 30.

The square root of 75023472 is about 8661.6090883854. The cubic root of 75023472 is about 421.7603215101.

The spelling of 75023472 in words is "seventy-five million, twenty-three thousand, four hundred seventy-two".

Divisors: 1 2 3 4 6 8 12 16 24 31 48 62 93 124 127 186 248 254 372 381 397 496 508 744 762 794 1016 1191 1488 1524 1588 2032 2382 3048 3176 3937 4764 6096 6352 7874 9528 11811 12307 15748 19056 23622 24614 31496 36921 47244 49228 50419 62992 73842 94488 98456 100838 147684 151257 188976 196912 201676 295368 302514 403352 590736 605028 806704 1210056 1562989 2420112 3125978 4688967 6251956 9377934 12503912 18755868 25007824 37511736 75023472