Search a number
-
+
5753149440 = 21135187277
BaseRepresentation
bin1010101101110101…
…00001100000000000
3112211221120021100220
411112322201200000
543240301240230
62350513543040
7262365651303
oct52672414000
915757507326
105753149440
112492559365
121146874a80
13708bb9a4c
143c8112b3a
1523a126d10
hex156ea1800

5753149440 has 96 divisors (see below), whose sum is σ = 18405681840. Its totient is φ = 1534164992.

The previous prime is 5753149387. The next prime is 5753149447. The reversal of 5753149440 is 449413575.

It is a tau number, because it is divible by the number of its divisors (96).

It is a hoax number, since the sum of its digits (42) coincides with the sum of the digits of its distinct prime factors.

It is a junction number, because it is equal to n+sod(n) for n = 5753149392 and 5753149401.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5753149447) 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, 62919 + ... + 124358.

Almost surely, 25753149440 is an apocalyptic number.

It is an amenable number.

5753149440 is an abundant number, since it is smaller than the sum of its proper divisors (12652532400).

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

5753149440 is a wasteful number, since it uses less digits than its factorization.

5753149440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 187307 (or 187287 counting only the distinct ones).

The product of its (nonzero) digits is 302400, while the sum is 42.

The square root of 5753149440 is about 75849.5183900333. The cubic root of 5753149440 is about 1791.8509654968.

The spelling of 5753149440 in words is "five billion, seven hundred fifty-three million, one hundred forty-nine thousand, four hundred forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 32 40 48 60 64 80 96 120 128 160 192 240 256 320 384 480 512 640 768 960 1024 1280 1536 1920 2048 2560 3072 3840 5120 6144 7680 10240 15360 30720 187277 374554 561831 749108 936385 1123662 1498216 1872770 2247324 2809155 2996432 3745540 4494648 5618310 5992864 7491080 8989296 11236620 11985728 14982160 17978592 22473240 23971456 29964320 35957184 44946480 47942912 59928640 71914368 89892960 95885824 119857280 143828736 179785920 191771648 239714560 287657472 359571840 383543296 479429120 575314944 719143680 958858240 1150629888 1438287360 1917716480 2876574720 5753149440