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42740424 = 233219157199
BaseRepresentation
bin1010001100001…
…0101011001000
32222102102211200
42203002223020
541420143144
64124024200
71026200436
oct243025310
988372750
1042740424
1122142571
1212392060
138b15cbc
145967d56
153b43c69
hex28c2ac8

42740424 has 96 divisors (see below), whose sum is σ = 123240000. Its totient is φ = 13343616.

The previous prime is 42740407. The next prime is 42740441. The reversal of 42740424 is 42404724.

It is an interprime number because it is at equal distance from previous prime (42740407) and next prime (42740441).

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 214677 + ... + 214875.

It is an arithmetic number, because the mean of its divisors is an integer number (1283750).

Almost surely, 242740424 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 42740424, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (61620000).

42740424 is an abundant number, since it is smaller than the sum of its proper divisors (80499576).

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

42740424 is a wasteful number, since it uses less digits than its factorization.

42740424 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 387 (or 380 counting only the distinct ones).

The product of its (nonzero) digits is 7168, while the sum is 27.

The square root of 42740424 is about 6537.6160792754. The cubic root of 42740424 is about 349.6334229976.

The spelling of 42740424 in words is "forty-two million, seven hundred forty thousand, four hundred twenty-four".

Divisors: 1 2 3 4 6 8 9 12 18 19 24 36 38 57 72 76 114 152 157 171 199 228 314 342 398 456 471 597 628 684 796 942 1194 1256 1368 1413 1592 1791 1884 2388 2826 2983 3582 3768 3781 4776 5652 5966 7164 7562 8949 11304 11343 11932 14328 15124 17898 22686 23864 26847 30248 31243 34029 35796 45372 53694 62486 68058 71592 90744 93729 107388 124972 136116 187458 214776 249944 272232 281187 374916 562374 593617 749832 1124748 1187234 1780851 2249496 2374468 3561702 4748936 5342553 7123404 10685106 14246808 21370212 42740424