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1403480052 = 22321310728027
BaseRepresentation
bin101001110100111…
…0110011111110100
310121210220011200200
41103221312133310
510333242330202
6351133240500
746531245402
oct12351663764
93553804620
101403480052
11660256377
12332033130
131949c9790
14d457a472
1583330e1c
hex53a767f4

1403480052 has 72 divisors (see below), whose sum is σ = 3856428576. Its totient is φ = 427788864.

The previous prime is 1403479949. The next prime is 1403480063. The reversal of 1403480052 is 2500843041.

It is a junction number, because it is equal to n+sod(n) for n = 1403479998 and 1403480025.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 36063 + ... + 64089.

It is an arithmetic number, because the mean of its divisors is an integer number (53561508).

Almost surely, 21403480052 is an apocalyptic number.

1403480052 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1403480052, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1928214288).

1403480052 is an abundant number, since it is smaller than the sum of its proper divisors (2452948524).

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

1403480052 is a wasteful number, since it uses less digits than its factorization.

1403480052 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 28157 (or 28152 counting only the distinct ones).

The product of its (nonzero) digits is 3840, while the sum is 27.

The square root of 1403480052 is about 37463.0491551342. The cubic root of 1403480052 is about 1119.6151026484.

The spelling of 1403480052 in words is "one billion, four hundred three million, four hundred eighty thousand, fifty-two".

Divisors: 1 2 3 4 6 9 12 13 18 26 36 39 52 78 107 117 156 214 234 321 428 468 642 963 1284 1391 1926 2782 3852 4173 5564 8346 12519 16692 25038 28027 50076 56054 84081 112108 168162 252243 336324 364351 504486 728702 1008972 1093053 1457404 2186106 2998889 3279159 4372212 5997778 6558318 8996667 11995556 13116636 17993334 26990001 35986668 38985557 53980002 77971114 107960004 116956671 155942228 233913342 350870013 467826684 701740026 1403480052