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42406716 = 223113111033
BaseRepresentation
bin1010000111000…
…1001100111100
32221210111002010
42201301030330
541324003331
64112531220
71023310512
oct241611474
987714063
1042406716
1121a34880
1212250b10
138a2a141
1458bc4b2
153ac9e46
hex287133c

42406716 has 48 divisors (see below), whose sum is σ = 108396288. Its totient is φ = 12796800.

The previous prime is 42406709. The next prime is 42406723. The reversal of 42406716 is 61760424.

It is an interprime number because it is at equal distance from previous prime (42406709) and next prime (42406723).

It is a congruent number.

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, 40536 + ... + 41568.

It is an arithmetic number, because the mean of its divisors is an integer number (2258256).

Almost surely, 242406716 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 42406716, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (54198144).

42406716 is an abundant number, since it is smaller than the sum of its proper divisors (65989572).

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

42406716 is a wasteful number, since it uses less digits than its factorization.

42406716 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1362 (or 1360 counting only the distinct ones).

The product of its (nonzero) digits is 8064, while the sum is 30.

The square root of 42406716 is about 6512.0439187708. The cubic root of 42406716 is about 348.7210903439.

The spelling of 42406716 in words is "forty-two million, four hundred six thousand, seven hundred sixteen".

Divisors: 1 2 3 4 6 11 12 22 33 44 66 132 311 622 933 1033 1244 1866 2066 3099 3421 3732 4132 6198 6842 10263 11363 12396 13684 20526 22726 34089 41052 45452 68178 136356 321263 642526 963789 1285052 1927578 3533893 3855156 7067786 10601679 14135572 21203358 42406716