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942428601 = 383792
BaseRepresentation
bin111000001011000…
…101000110111001
32102200100100000000
4320023011012321
53412230203401
6233303303213
732232340152
oct7013050671
92380310000
10942428601
11443a81614
1222374ab09
1312033077a
148d242929
1557b0d186
hex382c51b9

942428601 has 27 divisors (see below), whose sum is σ = 1417310661. Its totient is φ = 626627988.

The previous prime is 942428579. The next prime is 942428621. The reversal of 942428601 is 106824249.

The square root of 942428601 is 30699.

It is a perfect power (a square), and thus also a powerful number.

942428601 is a `hidden beast` number, since 9 + 4 + 2 + 42 + 8 + 601 = 666.

It is a tau number, because it is divible by the number of its divisors (27).

It is not a de Polignac number, because 942428601 - 211 = 942426553 is a prime.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (942428621) by changing a digit.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 2486430 + ... + 2486808.

Almost surely, 2942428601 is an apocalyptic number.

942428601 is the 30699-th square number.

942428601 is the 15350-th centered octagonal number.

It is an amenable number.

942428601 is a deficient number, since it is larger than the sum of its proper divisors (474882060).

942428601 is an frugal number, since it uses more digits than its factorization.

942428601 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 782 (or 382 counting only the distinct ones).

The product of its (nonzero) digits is 27648, while the sum is 36.

The cubic root of 942428601 is about 980.4290086834.

Multiplying 942428601 by its sum of digits (36), we get a square (33927429636 = 1841942).

It can be divided in two parts, 9424 and 28601, that added together give a square (38025 = 1952).

The spelling of 942428601 in words is "nine hundred forty-two million, four hundred twenty-eight thousand, six hundred one".

Divisors: 1 3 9 27 81 243 379 729 1137 2187 3411 6561 10233 30699 92097 143641 276291 430923 828873 1292769 2486619 3878307 11634921 34904763 104714289 314142867 942428601