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5252000460 = 2235715182813
BaseRepresentation
bin1001110010000101…
…10010101011001100
3111120000120021012120
410321002302223030
541224003003320
62225052332540
7244102160460
oct47102625314
914500507176
105252000460
112255687753
121026a74150
136591219a5
1437b73c4a0
1520b133440
hex1390b2acc

5252000460 has 96 divisors (see below), whose sum is σ = 16917906432. Its totient is φ = 1192492800.

The previous prime is 5252000447. The next prime is 5252000471. The reversal of 5252000460 is 640002525.

It is a self number, because there is not a number n which added to its sum of digits gives 5252000460.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 22014 + ... + 104826.

It is an arithmetic number, because the mean of its divisors is an integer number (176228192).

Almost surely, 25252000460 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 5252000460, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8458953216).

5252000460 is an abundant number, since it is smaller than the sum of its proper divisors (11665905972).

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

5252000460 is a wasteful number, since it uses less digits than its factorization.

5252000460 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 82983 (or 82981 counting only the distinct ones).

The product of its (nonzero) digits is 2400, while the sum is 24.

The square root of 5252000460 is about 72470.6869016708. The cubic root of 5252000460 is about 1738.2340452763.

Adding to 5252000460 its reverse (640002525), we get a palindrome (5892002985).

The spelling of 5252000460 in words is "five billion, two hundred fifty-two million, four hundred sixty", and thus it is an aban number.

Divisors: 1 2 3 4 5 6 7 10 12 14 15 20 21 28 30 35 42 60 70 84 105 140 151 210 302 420 453 604 755 906 1057 1510 1812 2114 2265 3020 3171 4228 4530 5285 6342 9060 10570 12684 15855 21140 31710 63420 82813 165626 248439 331252 414065 496878 579691 828130 993756 1159382 1242195 1656260 1739073 2318764 2484390 2898455 3478146 4968780 5796910 6956292 8695365 11593820 12504763 17390730 25009526 34781460 37514289 50019052 62523815 75028578 87533341 125047630 150057156 175066682 187571445 250095260 262600023 350133364 375142890 437666705 525200046 750285780 875333410 1050400092 1313000115 1750666820 2626000230 5252000460