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75542672 = 24231031993
BaseRepresentation
bin1001000000010…
…11000010010000
312021010222001202
410200023002100
5123314331142
611255050332
71605050012
oct440130220
9167128052
1075542672
1139707367
12213709a8
131285c60a
14a0661b2
156973032
hex480b090

75542672 has 40 divisors (see below), whose sum is σ = 154287744. Its totient is φ = 35760384.

The previous prime is 75542671. The next prime is 75542693. The reversal of 75542672 is 27624557.

It is a happy number.

It is not an unprimeable number, because it can be changed into a prime (75542671) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 36908 + ... + 38900.

Almost surely, 275542672 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 75542672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (77143872).

75542672 is an abundant number, since it is smaller than the sum of its proper divisors (78745072).

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

75542672 is a wasteful number, since it uses less digits than its factorization.

75542672 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2127 (or 2121 counting only the distinct ones).

The product of its digits is 117600, while the sum is 38.

The square root of 75542672 is about 8691.5287493053. The cubic root of 75542672 is about 422.7310165944.

The spelling of 75542672 in words is "seventy-five million, five hundred forty-two thousand, six hundred seventy-two".

Divisors: 1 2 4 8 16 23 46 92 103 184 206 368 412 824 1648 1993 2369 3986 4738 7972 9476 15944 18952 31888 37904 45839 91678 183356 205279 366712 410558 733424 821116 1642232 3284464 4721417 9442834 18885668 37771336 75542672