Search a number
-
+
93941952 = 2631361617
BaseRepresentation
bin1011001100101…
…11000011000000
320112202202010120
411212113003000
5143022120302
613153300240
72220331146
oct546270300
9215682116
1093941952
1149033a85
1227564680
1316602270
14c695596
1583a99bc
hex59970c0

93941952 has 112 divisors (see below), whose sum is σ = 272503392. Its totient is φ = 28385280.

The previous prime is 93941951. The next prime is 93941957. The reversal of 93941952 is 25914939.

It is not an unprimeable number, because it can be changed into a prime (93941951) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 151948 + ... + 152564.

It is an arithmetic number, because the mean of its divisors is an integer number (2433066).

Almost surely, 293941952 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 93941952, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (136251696).

93941952 is an abundant number, since it is smaller than the sum of its proper divisors (178561440).

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

93941952 is a wasteful number, since it uses less digits than its factorization.

93941952 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 706 (or 696 counting only the distinct ones).

The product of its digits is 87480, while the sum is 42.

The square root of 93941952 is about 9692.3656555043. The cubic root of 93941952 is about 454.5899812284.

The spelling of 93941952 in words is "ninety-three million, nine hundred forty-one thousand, nine hundred fifty-two".

Divisors: 1 2 3 4 6 8 12 13 16 24 26 32 39 48 52 61 64 78 96 104 122 156 183 192 208 244 312 366 416 488 617 624 732 793 832 976 1234 1248 1464 1586 1851 1952 2379 2468 2496 2928 3172 3702 3904 4758 4936 5856 6344 7404 8021 9516 9872 11712 12688 14808 16042 19032 19744 24063 25376 29616 32084 37637 38064 39488 48126 50752 59232 64168 75274 76128 96252 112911 118464 128336 150548 152256 192504 225822 256672 301096 385008 451644 489281 513344 602192 770016 903288 978562 1204384 1467843 1540032 1806576 1957124 2408768 2935686 3613152 3914248 5871372 7226304 7828496 11742744 15656992 23485488 31313984 46970976 93941952