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1403225152 = 26721726321
BaseRepresentation
bin101001110100011…
…1000010001000000
310121210102020000221
41103220320101000
510333211201102
6351123552424
746526134300
oct12350702100
93553366027
101403225152
116600a190a
12331b2b714
1319493a754
14d4511600
15832d0637
hex53a38440

1403225152 has 84 divisors (see below), whose sum is σ = 3429809244. Its totient is φ = 565985280.

The previous prime is 1403225129. The next prime is 1403225167. The reversal of 1403225152 is 2515223041.

It can be written as a sum of positive squares in 2 ways, for example, as 1221083136 + 182142016 = 34944^2 + 13496^2 .

It is a congruent number.

It is an unprimeable number.

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, 40152 + ... + 66472.

Almost surely, 21403225152 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 1403225152, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1714904622).

1403225152 is an abundant number, since it is smaller than the sum of its proper divisors (2026584092).

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

1403225152 is a wasteful number, since it uses less digits than its factorization.

1403225152 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 26364 (or 26347 counting only the distinct ones).

The product of its (nonzero) digits is 2400, while the sum is 25.

The square root of 1403225152 is about 37459.6469817856. The cubic root of 1403225152 is about 1119.5473170587.

Adding to 1403225152 its reverse (2515223041), we get a palindrome (3918448193).

The spelling of 1403225152 in words is "one billion, four hundred three million, two hundred twenty-five thousand, one hundred fifty-two".

Divisors: 1 2 4 7 8 14 16 17 28 32 34 49 56 64 68 98 112 119 136 196 224 238 272 392 448 476 544 784 833 952 1088 1568 1666 1904 3136 3332 3808 6664 7616 13328 26321 26656 52642 53312 105284 184247 210568 368494 421136 447457 736988 842272 894914 1289729 1473976 1684544 1789828 2579458 2947952 3132199 3579656 5158916 5895904 6264398 7159312 10317832 11791808 12528796 14318624 20635664 21925393 25057592 28637248 41271328 43850786 50115184 82542656 87701572 100230368 175403144 200460736 350806288 701612576 1403225152