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75012912 = 24331319237
BaseRepresentation
bin1000111100010…
…01101100110000
312020011001101000
410132021230300
5123200403122
611235442000
71600412352
oct436115460
9166131330
1075012912
1139385347
1221156300
1312705450
149d690d2
1568bb0ac
hex4789b30

75012912 has 240 divisors, whose sum is σ = 251338080. Its totient is φ = 21275136.

The previous prime is 75012877. The next prime is 75012919. The reversal of 75012912 is 21921057.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (75012919) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2027358 + ... + 2027394.

It is an arithmetic number, because the mean of its divisors is an integer number (1047242).

Almost surely, 275012912 is an apocalyptic number.

75012912 is a gapful number since it is divisible by the number (72) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 75012912, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (125669040).

75012912 is an abundant number, since it is smaller than the sum of its proper divisors (176325168).

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

75012912 is a wasteful number, since it uses less digits than its factorization.

75012912 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 105 (or 74 counting only the distinct ones).

The product of its (nonzero) digits is 1260, while the sum is 27.

The square root of 75012912 is about 8660.9994804295. Note that the first 3 decimals coincide. The cubic root of 75012912 is about 421.7405321568.

Adding to 75012912 its reverse (21921057), we get a palindrome (96933969).

The spelling of 75012912 in words is "seventy-five million, twelve thousand, nine hundred twelve".