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42456701 = 717231677
BaseRepresentation
bin1010000111110…
…1011001111101
32221220000122102
42201331121331
541332103301
64113554445
71023606320
oct241753175
987800572
1042456701
1121a69391
1212275a25
138a46b11
1458d27b7
153ad9b6b
hex287d67d

42456701 has 24 divisors (see below), whose sum is σ = 53285376. Its totient is φ = 33096960.

The previous prime is 42456679. The next prime is 42456731. The reversal of 42456701 is 10765424.

It is a de Polignac number, because none of the positive numbers 2k-42456701 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (42456731) 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, 62375 + ... + 63051.

It is an arithmetic number, because the mean of its divisors is an integer number (2220224).

Almost surely, 242456701 is an apocalyptic number.

It is an amenable number.

42456701 is a deficient number, since it is larger than the sum of its proper divisors (10828675).

42456701 is a wasteful number, since it uses less digits than its factorization.

42456701 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 749 (or 732 counting only the distinct ones).

The product of its (nonzero) digits is 6720, while the sum is 29.

The square root of 42456701 is about 6515.8806772377. The cubic root of 42456701 is about 348.8580496217.

The spelling of 42456701 in words is "forty-two million, four hundred fifty-six thousand, seven hundred one".

Divisors: 1 7 17 31 119 217 289 527 677 2023 3689 4739 8959 11509 20987 62713 80563 146909 195653 356779 1369571 2497453 6065243 42456701