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75472152 = 23372292213
BaseRepresentation
bin1000111111110…
…01110100011000
312021000101022220
410133321310120
5123310102102
611253344040
71604334300
oct437716430
9167011286
1075472152
1139669388
1221338020
13128364a2
14a048600
15695c1bc
hex47f9d18

75472152 has 96 divisors (see below), whose sum is σ = 227156400. Its totient is φ = 20810496.

The previous prime is 75472141. The next prime is 75472157. The reversal of 75472152 is 25127457.

It is a super-2 number, since 2×754721522 = 11392091455022208, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (75472157) 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, 32998 + ... + 35210.

Almost surely, 275472152 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 75472152, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (113578200).

75472152 is an abundant number, since it is smaller than the sum of its proper divisors (151684248).

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

75472152 is a wasteful number, since it uses less digits than its factorization.

75472152 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2265 (or 2254 counting only the distinct ones).

The product of its digits is 19600, while the sum is 33.

The square root of 75472152 is about 8687.4709783688. The cubic root of 75472152 is about 422.5994341320.

The spelling of 75472152 in words is "seventy-five million, four hundred seventy-two thousand, one hundred fifty-two".

Divisors: 1 2 3 4 6 7 8 12 14 21 24 28 29 42 49 56 58 84 87 98 116 147 168 174 196 203 232 294 348 392 406 588 609 696 812 1176 1218 1421 1624 2213 2436 2842 4263 4426 4872 5684 6639 8526 8852 11368 13278 15491 17052 17704 26556 30982 34104 46473 53112 61964 64177 92946 108437 123928 128354 185892 192531 216874 256708 325311 371784 385062 433748 449239 513416 650622 770124 867496 898478 1301244 1347717 1540248 1796956 2602488 2695434 3144673 3593912 5390868 6289346 9434019 10781736 12578692 18868038 25157384 37736076 75472152