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42407730 = 23251912467
BaseRepresentation
bin1010000111000…
…1011100110010
32221210112110200
42201301130302
541324021410
64112540030
71023313461
oct241613462
987715420
1042407730
1121a35612
1212251616
138a2a741
1458bc9d8
153aca3c0
hex2871732

42407730 has 48 divisors (see below), whose sum is σ = 110882304. Its totient is φ = 11244960.

The previous prime is 42407711. The next prime is 42407737. The reversal of 42407730 is 3770424.

It is a junction number, because it is equal to n+sod(n) for n = 42407694 and 42407703.

It is not an unprimeable number, because it can be changed into a prime (42407737) 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, 15957 + ... + 18423.

It is an arithmetic number, because the mean of its divisors is an integer number (2310048).

Almost surely, 242407730 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 42407730, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (55441152).

42407730 is an abundant number, since it is smaller than the sum of its proper divisors (68474574).

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

42407730 is a wasteful number, since it uses less digits than its factorization.

42407730 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2671 (or 2668 counting only the distinct ones).

The product of its (nonzero) digits is 4704, while the sum is 27.

The square root of 42407730 is about 6512.1217740457. The cubic root of 42407730 is about 348.7238697808.

The spelling of 42407730 in words is "forty-two million, four hundred seven thousand, seven hundred thirty".

Divisors: 1 2 3 5 6 9 10 15 18 30 45 90 191 382 573 955 1146 1719 1910 2467 2865 3438 4934 5730 7401 8595 12335 14802 17190 22203 24670 37005 44406 74010 111015 222030 471197 942394 1413591 2355985 2827182 4240773 4711970 7067955 8481546 14135910 21203865 42407730