[go: up one dir, main page]

Search a number
-
+
66948392 = 2373779409
BaseRepresentation
bin1111111101100…
…0110100101000
311122222022221002
43333120310220
5114114322032
610350534132
71442023550
oct377306450
9148868832
1066948392
1134877355
121a507348
1310b40844
148c6a160
155d26862
hex3fd8d28

66948392 has 64 divisors (see below), whose sum is σ = 149568000. Its totient is φ = 27495936.

The previous prime is 66948383. The next prime is 66948403. The reversal of 66948392 is 29384966.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 163484 + ... + 163892.

It is an arithmetic number, because the mean of its divisors is an integer number (2337000).

Almost surely, 266948392 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 66948392, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (74784000).

66948392 is an abundant number, since it is smaller than the sum of its proper divisors (82619608).

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

66948392 is a wasteful number, since it uses less digits than its factorization.

66948392 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 538 (or 534 counting only the distinct ones).

The product of its digits is 559872, while the sum is 47.

The square root of 66948392 is about 8182.1997042360. The cubic root of 66948392 is about 406.0505004845.

The spelling of 66948392 in words is "sixty-six million, nine hundred forty-eight thousand, three hundred ninety-two".

Divisors: 1 2 4 7 8 14 28 37 56 74 79 148 158 259 296 316 409 518 553 632 818 1036 1106 1636 2072 2212 2863 2923 3272 4424 5726 5846 11452 11692 15133 20461 22904 23384 30266 32311 40922 60532 64622 81844 105931 121064 129244 163688 211862 226177 258488 423724 452354 847448 904708 1195507 1809416 2391014 4782028 8368549 9564056 16737098 33474196 66948392