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2413053552 = 2437133311669
BaseRepresentation
bin1000111111010100…
…0100011001110000
320020011120211011210
42033311010121300
514420220203202
61035240040120
7113540421360
oct21765043160
96204524153
102413053552
111029118938
12574163040
132c5c09350
1418c69a9a0
15e1ca3c6c
hex8fd44670

2413053552 has 160 divisors (see below), whose sum is σ = 7700062720. Its totient is φ = 634106880.

The previous prime is 2413053521. The next prime is 2413053557. The reversal of 2413053552 is 2553503142.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2413053557) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1444974 + ... + 1446642.

It is an arithmetic number, because the mean of its divisors is an integer number (48125392).

Almost surely, 22413053552 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 2413053552, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3850031360).

2413053552 is an abundant number, since it is smaller than the sum of its proper divisors (5287009168).

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

2413053552 is a wasteful number, since it uses less digits than its factorization.

2413053552 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2031 (or 2025 counting only the distinct ones).

The product of its (nonzero) digits is 18000, while the sum is 30.

The square root of 2413053552 is about 49122.8414487599. The cubic root of 2413053552 is about 1341.2888675868.

Adding to 2413053552 its reverse (2553503142), we get a palindrome (4966556694).

The spelling of 2413053552 in words is "two billion, four hundred thirteen million, fifty-three thousand, five hundred fifty-two".

Divisors: 1 2 3 4 6 7 8 12 13 14 16 21 24 26 28 39 42 48 52 56 78 84 91 104 112 156 168 182 208 273 312 331 336 364 546 624 662 728 993 1092 1324 1456 1669 1986 2184 2317 2648 3338 3972 4303 4368 4634 5007 5296 6676 6951 7944 8606 9268 10014 11683 12909 13352 13902 15888 17212 18536 20028 21697 23366 25818 26704 27804 30121 34424 35049 37072 40056 43394 46732 51636 55608 60242 65091 68848 70098 80112 86788 90363 93464 103272 111216 120484 130182 140196 151879 173576 180726 186928 206544 240968 260364 280392 303758 347152 361452 455637 481936 520728 552439 560784 607516 722904 911274 1041456 1104878 1215032 1445808 1657317 1822548 2209756 2430064 3314634 3645096 3867073 4419512 6629268 7181707 7290192 7734146 8839024 11601219 13258536 14363414 15468292 21545121 23202438 26517072 28726828 30936584 43090242 46404876 50271949 57453656 61873168 86180484 92809752 100543898 114907312 150815847 172360968 185619504 201087796 301631694 344721936 402175592 603263388 804351184 1206526776 2413053552