Search a number
-
+
8052614752 = 257132281757
BaseRepresentation
bin1110111111111100…
…10010011001100000
3202210012102012202211
413133332102121200
5112442432133002
63411015251504
7403360044640
oct73776223140
922705365684
108052614752
113462544716
121688979b94
139b4405700
14565682520
15321e3edd7
hex1dff92660

8052614752 has 144 divisors (see below), whose sum is σ = 19715143392. Its totient is φ = 3170119680.

The previous prime is 8052614737. The next prime is 8052614767. The reversal of 8052614752 is 2574162508.

It is an interprime number because it is at equal distance from previous prime (8052614737) and next prime (8052614767).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 10637158 + ... + 10637914.

It is an arithmetic number, because the mean of its divisors is an integer number (136910718).

Almost surely, 28052614752 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 8052614752, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9857571696).

8052614752 is an abundant number, since it is smaller than the sum of its proper divisors (11662528640).

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

8052614752 is a wasteful number, since it uses less digits than its factorization.

8052614752 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1081 (or 1060 counting only the distinct ones).

The product of its (nonzero) digits is 134400, while the sum is 40.

The square root of 8052614752 is about 89736.3624847809. The cubic root of 8052614752 is about 2004.3749854396.

The spelling of 8052614752 in words is "eight billion, fifty-two million, six hundred fourteen thousand, seven hundred fifty-two".

Divisors: 1 2 4 7 8 13 14 16 26 28 32 52 56 91 104 112 169 182 208 224 281 338 364 416 562 676 728 757 1124 1183 1352 1456 1514 1967 2248 2366 2704 2912 3028 3653 3934 4496 4732 5299 5408 6056 7306 7868 8992 9464 9841 10598 12112 14612 15736 18928 19682 21196 24224 25571 29224 31472 37856 39364 42392 47489 51142 58448 62944 68887 78728 84784 94978 102284 116896 127933 137774 157456 169568 189956 204568 212717 255866 275548 314912 332423 379912 409136 425434 511732 551096 664846 759824 818272 850868 895531 1023464 1102192 1329692 1489019 1519648 1701736 1791062 2046928 2204384 2659384 2765321 2978038 3403472 3582124 4093856 5318768 5530642 5956076 6806944 7164248 10637536 11061284 11912152 14328496 19357247 22122568 23824304 28656992 35949173 38714494 44245136 47648608 71898346 77428988 88490272 143796692 154857976 251644211 287593384 309715952 503288422 575186768 619431904 1006576844 1150373536 2013153688 4026307376 8052614752