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1472103424 = 2101121092
BaseRepresentation
bin101011110111110…
…1000010000000000
310210121000121021001
41113233220100000
511003324302144
6402024141344
751323446501
oct12757502000
93717017231
101472103424
11695a67100
12351007854
131a5ca581c
14dd720ba8
1589388bd4
hex57be8400

1472103424 has 99 divisors (see below), whose sum is σ = 3264561741. Its totient is φ = 662999040.

The previous prime is 1472103397. The next prime is 1472103467. The reversal of 1472103424 is 4243012741.

The square root of 1472103424 is 38368.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in only one way, i.e., 1026049024 + 446054400 = 32032^2 + 21120^2 .

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 1472103392 and 1472103401.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 13505482 + ... + 13505590.

Almost surely, 21472103424 is an apocalyptic number.

1472103424 is the 38368-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1472103424

1472103424 is an abundant number, since it is smaller than the sum of its proper divisors (1792458317).

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

1472103424 is an equidigital number, since it uses as much as digits as its factorization.

1472103424 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 260 (or 122 counting only the distinct ones).

The product of its (nonzero) digits is 5376, while the sum is 28.

The cubic root of 1472103424 is about 1137.5734329923.

The spelling of 1472103424 in words is "one billion, four hundred seventy-two million, one hundred three thousand, four hundred twenty-four".

Divisors: 1 2 4 8 11 16 22 32 44 64 88 109 121 128 176 218 242 256 352 436 484 512 704 872 968 1024 1199 1408 1744 1936 2398 2816 3488 3872 4796 5632 6976 7744 9592 11264 11881 13189 13952 15488 19184 23762 26378 27904 30976 38368 47524 52756 55808 61952 76736 95048 105512 111616 123904 130691 153472 190096 211024 261382 306944 380192 422048 522764 613888 760384 844096 1045528 1227776 1437601 1520768 1688192 2091056 2875202 3041536 3376384 4182112 5750404 6083072 6752768 8364224 11500808 12166144 13505536 16728448 23001616 33456896 46003232 66913792 92006464 133827584 184012928 368025856 736051712 1472103424