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75428752 = 2475397131
BaseRepresentation
bin1000111111011…
…11001110010000
312020221011210111
410133233032100
5123302210002
611252411104
71604063620
oct437571620
9166834714
1075428752
1139639813
1221316a94
131281c7c9
14a036880
15694e3d7
hex47ef390

75428752 has 80 divisors (see below), whose sum is σ = 173238912. Its totient is φ = 31150080.

The previous prime is 75428747. The next prime is 75428827. The reversal of 75428752 is 25782457.

It is a happy number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 575727 + ... + 575857.

Almost surely, 275428752 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 75428752, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (86619456).

75428752 is an abundant number, since it is smaller than the sum of its proper divisors (97810160).

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

75428752 is a wasteful number, since it uses less digits than its factorization.

75428752 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 296 (or 290 counting only the distinct ones).

The product of its digits is 156800, while the sum is 40.

The square root of 75428752 is about 8684.9727690995. The cubic root of 75428752 is about 422.5184138188.

The spelling of 75428752 in words is "seventy-five million, four hundred twenty-eight thousand, seven hundred fifty-two".

Divisors: 1 2 4 7 8 14 16 28 53 56 97 106 112 131 194 212 262 371 388 424 524 679 742 776 848 917 1048 1358 1484 1552 1834 2096 2716 2968 3668 5141 5432 5936 6943 7336 10282 10864 12707 13886 14672 20564 25414 27772 35987 41128 48601 50828 55544 71974 82256 88949 97202 101656 111088 143948 177898 194404 203312 287896 355796 388808 575792 673471 711592 777616 1346942 1423184 2693884 4714297 5387768 9428594 10775536 18857188 37714376 75428752