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472142448 = 24324769761
BaseRepresentation
bin11100001001000…
…101001001110000
31012220102022200100
4130021011021300
51431332024243
6114503352400
714462100411
oct3411051160
91186368610
10472142448
1122256a678
12112152700
1376a8033b
14469c3808
152b6b40d3
hex1c245270

472142448 has 60 divisors (see below), whose sum is σ = 1349476128. Its totient is φ = 154030080.

The previous prime is 472142443. The next prime is 472142453. The reversal of 472142448 is 844241274.

472142448 is a `hidden beast` number, since 4 + 72 + 142 + 448 = 666.

It is an interprime number because it is at equal distance from previous prime (472142443) and next prime (472142453).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (472142443) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 28113 + ... + 41648.

Almost surely, 2472142448 is an apocalyptic number.

472142448 is a gapful number since it is divisible by the number (48) formed by its first and last digit.

It is an amenable number.

472142448 is an abundant number, since it is smaller than the sum of its proper divisors (877333680).

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

472142448 is a wasteful number, since it uses less digits than its factorization.

472142448 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 69822 (or 69813 counting only the distinct ones).

The product of its digits is 57344, while the sum is 36.

The square root of 472142448 is about 21728.8390854183. The cubic root of 472142448 is about 778.6776015046.

The spelling of 472142448 in words is "four hundred seventy-two million, one hundred forty-two thousand, four hundred forty-eight".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 36 47 48 72 94 141 144 188 282 376 423 564 752 846 1128 1692 2256 3384 6768 69761 139522 209283 279044 418566 558088 627849 837132 1116176 1255698 1674264 2511396 3278767 3348528 5022792 6557534 9836301 10045584 13115068 19672602 26230136 29508903 39345204 52460272 59017806 78690408 118035612 157380816 236071224 472142448