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5305228632 = 23321110762603
BaseRepresentation
bin1001111000011011…
…10101110101011000
3111200201201112112100
410330031311311120
541331114304012
62234233243400
7245316461604
oct47415656530
914621645470
105305228632
112282732880
121040863560
1366716a552
14384836504
15210b498dc
hex13c375d58

5305228632 has 96 divisors (see below), whose sum is σ = 15821282880. Its totient is φ = 1592594880.

The previous prime is 5305228631. The next prime is 5305228633. The reversal of 5305228632 is 2368225035.

5305228632 is a `hidden beast` number, since 53 + 0 + 522 + 86 + 3 + 2 = 666.

It is an interprime number because it is at equal distance from previous prime (5305228631) and next prime (5305228633).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5305228631) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 53443 + ... + 116045.

It is an arithmetic number, because the mean of its divisors is an integer number (164805030).

Almost surely, 25305228632 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 5305228632, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7910641440).

5305228632 is an abundant number, since it is smaller than the sum of its proper divisors (10516054248).

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

5305228632 is a wasteful number, since it uses less digits than its factorization.

5305228632 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 62733 (or 62726 counting only the distinct ones).

The product of its (nonzero) digits is 86400, while the sum is 36.

The square root of 5305228632 is about 72837.0004324725. Note that the first 3 decimals coincide. The cubic root of 5305228632 is about 1744.0865581074.

The spelling of 5305228632 in words is "five billion, three hundred five million, two hundred twenty-eight thousand, six hundred thirty-two".

Divisors: 1 2 3 4 6 8 9 11 12 18 22 24 33 36 44 66 72 88 99 107 132 198 214 264 321 396 428 642 792 856 963 1177 1284 1926 2354 2568 3531 3852 4708 7062 7704 9416 10593 14124 21186 28248 42372 62603 84744 125206 187809 250412 375618 500824 563427 688633 751236 1126854 1377266 1502472 2065899 2253708 2754532 4131798 4507416 5509064 6197697 6698521 8263596 12395394 13397042 16527192 20095563 24790788 26794084 40191126 49581576 53588168 60286689 73683731 80382252 120573378 147367462 160764504 221051193 241146756 294734924 442102386 482293512 589469848 663153579 884204772 1326307158 1768409544 2652614316 5305228632