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42374736 = 2432294269
BaseRepresentation
bin1010000110100…
…1011001010000
32221201212012200
42201221121100
541321442421
64112123200
71023115335
oct241513120
987655180
1042374736
1121a12848
1212236500
138a18711
1458b098c
153ac0726
hex2869650

42374736 has 30 divisors (see below), whose sum is σ = 118590810. Its totient is φ = 14124864.

The previous prime is 42374729. The next prime is 42374743. The reversal of 42374736 is 63747324.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (42374729) and next prime (42374743).

It can be written as a sum of positive squares in only one way, i.e., 32490000 + 9884736 = 5700^2 + 3144^2 .

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a self number, because there is not a number n which added to its sum of digits gives 42374736.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 146991 + ... + 147278.

It is an arithmetic number, because the mean of its divisors is an integer number (3953027).

Almost surely, 242374736 is an apocalyptic number.

It is an amenable number.

42374736 is an abundant number, since it is smaller than the sum of its proper divisors (76216074).

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

42374736 is a wasteful number, since it uses less digits than its factorization.

42374736 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 294283 (or 294274 counting only the distinct ones).

The product of its digits is 84672, while the sum is 36.

The square root of 42374736 is about 6509.5880053963. The cubic root of 42374736 is about 348.6334084383.

The spelling of 42374736 in words is "forty-two million, three hundred seventy-four thousand, seven hundred thirty-six".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 36 48 72 144 294269 588538 882807 1177076 1765614 2354152 2648421 3531228 4708304 5296842 7062456 10593684 14124912 21187368 42374736