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5029436048 = 2472133713337
BaseRepresentation
bin1001010111100011…
…10001101010010000
3110222111202211020012
410223301301222100
540300013423143
62151022134052
7235430333600
oct45361615220
913874684205
105029436048
112150a9281a
12b84421328
13621c96c80
14359d64c00
151e681d418
hex12bc71a90

5029436048 has 120 divisors (see below), whose sum is σ = 12538306872. Its totient is φ = 1935747072.

The previous prime is 5029436039. The next prime is 5029436057. The reversal of 5029436048 is 8406349205.

It is an interprime number because it is at equal distance from previous prime (5029436039) and next prime (5029436057).

It can be written as a sum of positive squares in 4 ways, for example, as 472105984 + 4557330064 = 21728^2 + 67508^2 .

It is a junction number, because it is equal to n+sod(n) for n = 5029435996 and 5029436014.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 370436 + ... + 383772.

Almost surely, 25029436048 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 5029436048, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6269153436).

5029436048 is an abundant number, since it is smaller than the sum of its proper divisors (7508870824).

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

5029436048 is a wasteful number, since it uses less digits than its factorization.

5029436048 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13409 (or 13396 counting only the distinct ones).

The product of its (nonzero) digits is 207360, while the sum is 41.

The square root of 5029436048 is about 70918.5169613691. The cubic root of 5029436048 is about 1713.3250452377.

The spelling of 5029436048 in words is "five billion, twenty-nine million, four hundred thirty-six thousand, forty-eight".

Divisors: 1 2 4 7 8 13 14 16 26 28 37 49 52 56 74 91 98 104 112 148 182 196 208 259 296 364 392 481 518 592 637 728 784 962 1036 1274 1456 1813 1924 2072 2548 3367 3626 3848 4144 5096 6734 7252 7696 10192 13337 13468 14504 23569 26674 26936 29008 47138 53348 53872 93359 94276 106696 173381 186718 188552 213392 346762 373436 377104 493469 653513 693524 746872 986938 1213667 1307026 1387048 1493744 1973876 2427334 2614052 2774096 3454283 3947752 4854668 5228104 6415097 6908566 7895504 8495669 9709336 10456208 12830194 13817132 16991338 19418672 24179981 25660388 27634264 33982676 44905679 48359962 51320776 55268528 67965352 89811358 96719924 102641552 135930704 179622716 193439848 314339753 359245432 386879696 628679506 718490864 1257359012 2514718024 5029436048