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42700760 = 23529131281
BaseRepresentation
bin1010001011100…
…0111111011000
32222100102102122
42202320333120
541412411020
64123120412
71025644004
oct242707730
988312378
1042700760
1122115793
1212373108
138b00c2b
145957704
153b37125
hex28b8fd8

42700760 has 64 divisors (see below), whose sum is σ = 100504800. Its totient is φ = 16307200.

The previous prime is 42700759. The next prime is 42700781. The reversal of 42700760 is 6700724.

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, 151820 + ... + 152100.

Almost surely, 242700760 is an apocalyptic number.

42700760 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 42700760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (50252400).

42700760 is an abundant number, since it is smaller than the sum of its proper divisors (57804040).

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

42700760 is a wasteful number, since it uses less digits than its factorization.

42700760 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 452 (or 448 counting only the distinct ones).

The product of its (nonzero) digits is 2352, while the sum is 26.

The square root of 42700760 is about 6534.5818534930. The cubic root of 42700760 is about 349.5252338339.

The spelling of 42700760 in words is "forty-two million, seven hundred thousand, seven hundred sixty".

Divisors: 1 2 4 5 8 10 20 29 40 58 116 131 145 232 262 281 290 524 562 580 655 1048 1124 1160 1310 1405 2248 2620 2810 3799 5240 5620 7598 8149 11240 15196 16298 18995 30392 32596 36811 37990 40745 65192 73622 75980 81490 147244 151960 162980 184055 294488 325960 368110 736220 1067519 1472440 2135038 4270076 5337595 8540152 10675190 21350380 42700760