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42407677 = 1321947281
BaseRepresentation
bin1010000111000…
…1011011111101
32221210112101201
42201301123331
541324021202
64112535501
71023313354
oct241613375
987715351
1042407677
1121a35574
1212251591
138a2a700
1458bc99b
153aca387
hex28716fd

42407677 has 24 divisors (see below), whose sum is σ = 49541760. Its totient is φ = 36167040.

The previous prime is 42407669. The next prime is 42407681. The reversal of 42407677 is 77670424.

It is a happy number.

It is not a de Polignac number, because 42407677 - 23 = 42407669 is a prime.

It is a super-2 number, since 2×424076772 = 3596822137072658, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (42407647) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 150777 + ... + 151057.

It is an arithmetic number, because the mean of its divisors is an integer number (2064240).

Almost surely, 242407677 is an apocalyptic number.

42407677 is a gapful number since it is divisible by the number (47) formed by its first and last digit.

It is an amenable number.

42407677 is a deficient number, since it is larger than the sum of its proper divisors (7134083).

42407677 is a wasteful number, since it uses less digits than its factorization.

42407677 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 373 (or 360 counting only the distinct ones).

The product of its (nonzero) digits is 65856, while the sum is 37.

The square root of 42407677 is about 6512.1177047102. The cubic root of 42407677 is about 348.7237245056.

The spelling of 42407677 in words is "forty-two million, four hundred seven thousand, six hundred seventy-seven".

Divisors: 1 13 19 47 169 247 281 611 893 3211 3653 5339 7943 11609 13207 47489 69407 150917 171691 250933 902291 2231983 3262129 42407677