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5032406496 = 2531312731751
BaseRepresentation
bin1001010111111010…
…00110110111100000
3110222201100201220210
410223331012313200
540301244001441
62151205534120
7235464515025
oct45375066740
913881321823
105032406496
112152731537
12b85414340
13622797030
1435a4d954c
151e6c08616
hex12bf46de0

5032406496 has 96 divisors (see below), whose sum is σ = 14338695168. Its totient is φ = 1536192000.

The previous prime is 5032406479. The next prime is 5032406497. The reversal of 5032406496 is 6946042305.

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

It is a Harshad number since it is a multiple of its sum of digits (39).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5032406497) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 142621 + ... + 174371.

It is an arithmetic number, because the mean of its divisors is an integer number (149361408).

Almost surely, 25032406496 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 5032406496, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7169347584).

5032406496 is an abundant number, since it is smaller than the sum of its proper divisors (9306288672).

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

5032406496 is a wasteful number, since it uses less digits than its factorization.

5032406496 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 31904 (or 31896 counting only the distinct ones).

The product of its (nonzero) digits is 155520, while the sum is 39.

The square root of 5032406496 is about 70939.4565527535. The cubic root of 5032406496 is about 1713.6622826066.

The spelling of 5032406496 in words is "five billion, thirty-two million, four hundred six thousand, four hundred ninety-six".

Divisors: 1 2 3 4 6 8 12 13 16 24 26 32 39 48 52 78 96 104 127 156 208 254 312 381 416 508 624 762 1016 1248 1524 1651 2032 3048 3302 4064 4953 6096 6604 9906 12192 13208 19812 26416 31751 39624 52832 63502 79248 95253 127004 158496 190506 254008 381012 412763 508016 762024 825526 1016032 1238289 1524048 1651052 2476578 3048096 3302104 4032377 4953156 6604208 8064754 9906312 12097131 13208416 16129508 19812624 24194262 32259016 39625248 48388524 52420901 64518032 96777048 104841802 129036064 157262703 193554096 209683604 314525406 387108192 419367208 629050812 838734416 1258101624 1677468832 2516203248 5032406496