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2483480400 = 2435210212027
BaseRepresentation
bin1001010000000110…
…1110011101010000
320102002002212122120
42110001232131100
520041232333100
61050233334240
7115354143432
oct22401563520
96362085576
102483480400
111064950645
12593867380
1330769723b
14197b90652
15e80660a0
hex9406e750

2483480400 has 120 divisors (see below), whose sum is σ = 7967135904. Its totient is φ = 661286400.

The previous prime is 2483480393. The next prime is 2483480429. The reversal of 2483480400 is 40843842.

It is a tau number, because it is divible by the number of its divisors (120).

It is a congruent number.

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 23 ways as a sum of consecutive naturals, for example, 1224187 + ... + 1226213.

Almost surely, 22483480400 is an apocalyptic number.

2483480400 is a gapful number since it is divisible by the number (20) 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 2483480400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3983567952).

2483480400 is an abundant number, since it is smaller than the sum of its proper divisors (5483655504).

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

2483480400 is a wasteful number, since it uses less digits than its factorization.

2483480400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3069 (or 3058 counting only the distinct ones).

The product of its (nonzero) digits is 24576, while the sum is 33.

The square root of 2483480400 is about 49834.5301974444. The cubic root of 2483480400 is about 1354.2127932953.

The spelling of 2483480400 in words is "two billion, four hundred eighty-three million, four hundred eighty thousand, four hundred".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 25 30 40 48 50 60 75 80 100 120 150 200 240 300 400 600 1021 1200 2027 2042 3063 4054 4084 5105 6081 6126 8108 8168 10135 10210 12162 12252 15315 16216 16336 20270 20420 24324 24504 25525 30405 30630 32432 40540 40840 48648 49008 50675 51050 60810 61260 76575 81080 81680 97296 101350 102100 121620 122520 152025 153150 162160 202700 204200 243240 245040 304050 306300 405400 408400 486480 608100 612600 810800 1216200 1225200 2069567 2432400 4139134 6208701 8278268 10347835 12417402 16556536 20695670 24834804 31043505 33113072 41391340 49669608 51739175 62087010 82782680 99339216 103478350 124174020 155217525 165565360 206956700 248348040 310435050 413913400 496696080 620870100 827826800 1241740200 2483480400