Search a number
-
+
42369480 = 233651453
BaseRepresentation
bin1010000110100…
…0000111001000
32221201121000000
42201220013020
541321310410
64112043000
71023064116
oct241500710
987647000
1042369480
1121a098aa
1212233460
138a161ca
1458acab6
153abddc0
hex28681c8

42369480 has 112 divisors (see below), whose sum is σ = 143029980. Its totient is φ = 11290752.

The previous prime is 42369469. The next prime is 42369533. The reversal of 42369480 is 8496324.

It is a happy number.

It can be written as a sum of positive squares in 2 ways, for example, as 39917124 + 2452356 = 6318^2 + 1566^2 .

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

It is an unprimeable number.

It is a polite number, since it can be written in 27 ways as a sum of consecutive naturals, for example, 28434 + ... + 29886.

Almost surely, 242369480 is an apocalyptic number.

42369480 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 42369480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (71514990).

42369480 is an abundant number, since it is smaller than the sum of its proper divisors (100660500).

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

42369480 is a wasteful number, since it uses less digits than its factorization.

42369480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1482 (or 1463 counting only the distinct ones).

The product of its (nonzero) digits is 41472, while the sum is 36.

The square root of 42369480 is about 6509.1842806914. The cubic root of 42369480 is about 348.6189934580.

It can be divided in two parts, 42369 and 480, that added together give a square (42849 = 2072).

The spelling of 42369480 in words is "forty-two million, three hundred sixty-nine thousand, four hundred eighty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 18 20 24 27 30 36 40 45 54 60 72 81 90 108 120 135 162 180 216 243 270 324 360 405 486 540 648 729 810 972 1080 1215 1453 1458 1620 1944 2430 2906 2916 3240 3645 4359 4860 5812 5832 7265 7290 8718 9720 11624 13077 14530 14580 17436 21795 26154 29060 29160 34872 39231 43590 52308 58120 65385 78462 87180 104616 117693 130770 156924 174360 196155 235386 261540 313848 353079 392310 470772 523080 588465 706158 784620 941544 1059237 1176930 1412316 1569240 1765395 2118474 2353860 2824632 3530790 4236948 4707720 5296185 7061580 8473896 10592370 14123160 21184740 42369480