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1242472448 = 213747461
BaseRepresentation
bin100101000001110…
…1010000000000000
310012120221010210002
41022003222000000
510021033104243
6323142255132
742534561440
oct11203520000
93176833702
101242472448
11588385a38
122a81274a8
1316a5454c9
14bb028120
1574129eb8
hex4a0ea000

1242472448 has 112 divisors (see below), whose sum is σ = 2906475264. Its totient is φ = 520028160.

The previous prime is 1242472447. The next prime is 1242472459. The reversal of 1242472448 is 8442742421.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (112).

It is a super-2 number, since 2×12424724482 = 3087475568078225408, which contains 22 as substring.

It is a nude number because it is divisible by every one of its digits.

It is not an unprimeable number, because it can be changed into a prime (1242472447) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 2694938 + ... + 2695398.

It is an arithmetic number, because the mean of its divisors is an integer number (25950672).

Almost surely, 21242472448 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1242472448, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1453237632).

1242472448 is an abundant number, since it is smaller than the sum of its proper divisors (1664002816).

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

1242472448 is an frugal number, since it uses more digits than its factorization.

1242472448 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 541 (or 517 counting only the distinct ones).

The product of its digits is 114688, while the sum is 38.

The square root of 1242472448 is about 35248.7226435228. The cubic root of 1242472448 is about 1075.0506406286.

The spelling of 1242472448 in words is "one billion, two hundred forty-two million, four hundred seventy-two thousand, four hundred forty-eight".

Divisors: 1 2 4 7 8 14 16 28 32 47 56 64 94 112 128 188 224 256 329 376 448 461 512 658 752 896 922 1024 1316 1504 1792 1844 2048 2632 3008 3227 3584 3688 4096 5264 6016 6454 7168 7376 8192 10528 12032 12908 14336 14752 21056 21667 24064 25816 28672 29504 42112 43334 48128 51632 57344 59008 84224 86668 96256 103264 118016 151669 168448 173336 192512 206528 236032 303338 336896 346672 385024 413056 472064 606676 673792 693344 826112 944128 1213352 1347584 1386688 1652224 1888256 2426704 2695168 2773376 3304448 3776512 4853408 5546752 6608896 9706816 11093504 13217792 19413632 22187008 26435584 38827264 44374016 77654528 88748032 155309056 177496064 310618112 621236224 1242472448