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5000877252 = 223376739829
BaseRepresentation
bin1001010100001001…
…10101010011000100
3110220112000212221000
410222010311103010
540220211033002
62144122053300
7234632520030
oct45204652304
913815025830
105000877252
112136957108
12b7694a230
136190a7c87
1435624d1c0
151e407b61c
hex12a1354c4

5000877252 has 96 divisors (see below), whose sum is σ = 14840940800. Its totient is φ = 1426553856.

The previous prime is 5000877241. The next prime is 5000877283. The reversal of 5000877252 is 2527780005.

5000877252 is a `hidden beast` number, since 500 + 0 + 87 + 72 + 5 + 2 = 666.

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 503874 + ... + 513702.

Almost surely, 25000877252 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 5000877252, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7420470400).

5000877252 is an abundant number, since it is smaller than the sum of its proper divisors (9840063548).

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

5000877252 is a wasteful number, since it uses less digits than its factorization.

5000877252 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10522 (or 10514 counting only the distinct ones).

The product of its (nonzero) digits is 39200, while the sum is 36.

The square root of 5000877252 is about 70716.8809549743. The cubic root of 5000877252 is about 1710.0759461499.

It can be divided in two parts, 50008 and 77252, that added together give a triangular number (127260 = T504).

The spelling of 5000877252 in words is "five billion, eight hundred seventy-seven thousand, two hundred fifty-two".

Divisors: 1 2 3 4 6 7 9 12 14 18 21 27 28 36 42 54 63 84 108 126 189 252 378 673 756 1346 2019 2692 4038 4711 6057 8076 9422 9829 12114 14133 18171 18844 19658 24228 28266 29487 36342 39316 42399 56532 58974 68803 72684 84798 88461 117948 127197 137606 169596 176922 206409 254394 265383 275212 353844 412818 508788 530766 619227 825636 1061532 1238454 1857681 2476908 3715362 6614917 7430724 13229834 19844751 26459668 39689502 46304419 59534253 79379004 92608838 119068506 138913257 178602759 185217676 238137012 277826514 357205518 416739771 555653028 714411036 833479542 1250219313 1666959084 2500438626 5000877252