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8052632460 = 2232549989653
BaseRepresentation
bin1110111111111100…
…10110101110001100
3202210012110010001200
413133332112232030
5112442433214320
63411015505500
7403360150365
oct73776265614
922705403050
108052632460
113462556a54
121688988290
139b44107a2
14565688b6c
15321e45290
hex1dff96b8c

8052632460 has 72 divisors (see below), whose sum is σ = 24475542000. Its totient is φ = 2143041408.

The previous prime is 8052632377. The next prime is 8052632461. The reversal of 8052632460 is 642362508.

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

It is not an unprimeable number, because it can be changed into a prime (8052632461) 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, 44994 + ... + 134646.

Almost surely, 28052632460 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 8052632460, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12237771000).

8052632460 is an abundant number, since it is smaller than the sum of its proper divisors (16422909540).

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

8052632460 is a wasteful number, since it uses less digits than its factorization.

8052632460 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 90167 (or 90162 counting only the distinct ones).

The product of its (nonzero) digits is 69120, while the sum is 36.

The square root of 8052632460 is about 89736.4611515297. The cubic root of 8052632460 is about 2004.3764546703.

Adding to 8052632460 its reverse (642362508), we get a palindrome (8694994968).

The spelling of 8052632460 in words is "eight billion, fifty-two million, six hundred thirty-two thousand, four hundred sixty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 30 36 45 60 90 180 499 998 1497 1996 2495 2994 4491 4990 5988 7485 8982 9980 14970 17964 22455 29940 44910 89653 89820 179306 268959 358612 448265 537918 806877 896530 1075836 1344795 1613754 1793060 2689590 3227508 4034385 5379180 8068770 16137540 44736847 89473694 134210541 178947388 223684235 268421082 402631623 447368470 536842164 671052705 805263246 894736940 1342105410 1610526492 2013158115 2684210820 4026316230 8052632460