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42932970 = 2335198369
BaseRepresentation
bin1010001111000…
…1101011101010
32222210012222000
42203301223222
541442323340
64132111430
71030632003
oct243615352
988705860
1042932970
11222641a3
1212465576
138b82832
1459b81aa
153b80d30
hex28f1aea

42932970 has 64 divisors (see below), whose sum is σ = 120528000. Its totient is φ = 10844928.

The previous prime is 42932957. The next prime is 42932983. The reversal of 42932970 is 7923924.

It is an interprime number because it is at equal distance from previous prime (42932957) and next prime (42932983).

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 946 + ... + 9314.

It is an arithmetic number, because the mean of its divisors is an integer number (1883250).

Almost surely, 242932970 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 42932970, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (60264000).

42932970 is an abundant number, since it is smaller than the sum of its proper divisors (77595030).

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

42932970 is a wasteful number, since it uses less digits than its factorization.

42932970 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8404 (or 8398 counting only the distinct ones).

The product of its (nonzero) digits is 27216, while the sum is 36.

The square root of 42932970 is about 6552.3255413632. The cubic root of 42932970 is about 350.1576704574.

The spelling of 42932970 in words is "forty-two million, nine hundred thirty-two thousand, nine hundred seventy".

Divisors: 1 2 3 5 6 9 10 15 18 19 27 30 38 45 54 57 90 95 114 135 171 190 270 285 342 513 570 855 1026 1710 2565 5130 8369 16738 25107 41845 50214 75321 83690 125535 150642 159011 225963 251070 318022 376605 451926 477033 753210 795055 954066 1129815 1431099 1590110 2259630 2385165 2862198 4293297 4770330 7155495 8586594 14310990 21466485 42932970