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506225040 = 24353168041
BaseRepresentation
bin11110001011000…
…110000110010000
31022021112220012120
4132023012012100
52014043200130
6122122054240
715354561516
oct3613060620
91267486176
10506225040
1123a829402
1212164a380
1380b54659
144b3364b6
152e697910
hex1e2c6190

506225040 has 80 divisors (see below), whose sum is σ = 1619943936. Its totient is φ = 130636800.

The previous prime is 506225039. The next prime is 506225059. The reversal of 506225040 is 40522605.

It is a tau number, because it is divible by the number of its divisors (80).

It is a super-2 number, since 2×5062250402 = 512527582246003200, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a self number, because there is not a number n which added to its sum of digits gives 506225040.

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, 26581 + ... + 41460.

Almost surely, 2506225040 is an apocalyptic number.

It is an amenable number.

506225040 is an abundant number, since it is smaller than the sum of its proper divisors (1113718896).

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

506225040 is a wasteful number, since it uses less digits than its factorization.

506225040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 68088 (or 68082 counting only the distinct ones).

The product of its (nonzero) digits is 2400, while the sum is 24.

The square root of 506225040 is about 22499.4453264964. The cubic root of 506225040 is about 796.9808284209.

Adding to 506225040 its reverse (40522605), we get a palindrome (546747645).

The spelling of 506225040 in words is "five hundred six million, two hundred twenty-five thousand, forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 31 40 48 60 62 80 93 120 124 155 186 240 248 310 372 465 496 620 744 930 1240 1488 1860 2480 3720 7440 68041 136082 204123 272164 340205 408246 544328 680410 816492 1020615 1088656 1360820 1632984 2041230 2109271 2721640 3265968 4082460 4218542 5443280 6327813 8164920 8437084 10546355 12655626 16329840 16874168 21092710 25311252 31639065 33748336 42185420 50622504 63278130 84370840 101245008 126556260 168741680 253112520 506225040