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93942464 = 2671121733
BaseRepresentation
bin1011001100101…
…11001011000000
320112202202211112
411212113023000
5143022124324
613153302452
72220332510
oct546271300
9215682745
1093942464
1149034400
1227564a28
1316602575
14c695840
1583a9c0e
hex59972c0

93942464 has 84 divisors (see below), whose sum is σ = 234311952. Its totient is φ = 36579840.

The previous prime is 93942461. The next prime is 93942481. The reversal of 93942464 is 46424939.

It is not an unprimeable number, because it can be changed into a prime (93942461) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 53342 + ... + 55074.

It is an arithmetic number, because the mean of its divisors is an integer number (2789428).

Almost surely, 293942464 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 93942464, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (117155976).

93942464 is an abundant number, since it is smaller than the sum of its proper divisors (140369488).

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

93942464 is a wasteful number, since it uses less digits than its factorization.

93942464 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1774 (or 1753 counting only the distinct ones).

The product of its digits is 186624, while the sum is 41.

The square root of 93942464 is about 9692.3920680088. The cubic root of 93942464 is about 454.5908070917.

The spelling of 93942464 in words is "ninety-three million, nine hundred forty-two thousand, four hundred sixty-four".

Divisors: 1 2 4 7 8 11 14 16 22 28 32 44 56 64 77 88 112 121 154 176 224 242 308 352 448 484 616 704 847 968 1232 1694 1733 1936 2464 3388 3466 3872 4928 6776 6932 7744 12131 13552 13864 19063 24262 27104 27728 38126 48524 54208 55456 76252 97048 110912 133441 152504 194096 209693 266882 305008 388192 419386 533764 610016 776384 838772 1067528 1220032 1467851 1677544 2135056 2935702 3355088 4270112 5871404 6710176 8540224 11742808 13420352 23485616 46971232 93942464