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42974040 = 23351572281
BaseRepresentation
bin1010001111101…
…1101101011000
32222212022022010
42203323231120
542000132130
64133025520
71031162514
oct243735530
988768263
1042974040
112229203a
12124852a0
138b98435
1459c9144
153b8d0b0
hex28fbb58

42974040 has 64 divisors (see below), whose sum is σ = 129800160. Its totient is φ = 11381760.

The previous prime is 42974033. The next prime is 42974047. The reversal of 42974040 is 4047924.

It is an interprime number because it is at equal distance from previous prime (42974033) and next prime (42974047).

It is a super-2 number, since 2×429740402 = 3693536227843200, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a junction number, because it is equal to n+sod(n) for n = 42973989 and 42974007.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (42974047) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 17700 + ... + 19980.

Almost surely, 242974040 is an apocalyptic number.

42974040 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 42974040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (64900080).

42974040 is an abundant number, since it is smaller than the sum of its proper divisors (86826120).

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

42974040 is a wasteful number, since it uses less digits than its factorization.

42974040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2452 (or 2448 counting only the distinct ones).

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

The square root of 42974040 is about 6555.4587940128. The cubic root of 42974040 is about 350.2692893548.

The spelling of 42974040 in words is "forty-two million, nine hundred seventy-four thousand, forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 30 40 60 120 157 314 471 628 785 942 1256 1570 1884 2281 2355 3140 3768 4562 4710 6280 6843 9124 9420 11405 13686 18248 18840 22810 27372 34215 45620 54744 68430 91240 136860 273720 358117 716234 1074351 1432468 1790585 2148702 2864936 3581170 4297404 5371755 7162340 8594808 10743510 14324680 21487020 42974040