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7672082352 = 24311195571373
BaseRepresentation
bin1110010010100101…
…01010111110110000
3201210200101011110020
413021102222332300
5111203023113402
63305143203440
7361056424014
oct71122527660
921720334406
107672082352
113287766030
1215a1446580
1395361c0cc
1452ad08544
152ed8248bc
hex1c94aafb0

7672082352 has 160 divisors (see below), whose sum is σ = 22816753920. Its totient is φ = 2196956160.

The previous prime is 7672082339. The next prime is 7672082389. The reversal of 7672082352 is 2532802767.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 5587138 + ... + 5588510.

It is an arithmetic number, because the mean of its divisors is an integer number (142604712).

Almost surely, 27672082352 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 7672082352, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11408376960).

7672082352 is an abundant number, since it is smaller than the sum of its proper divisors (15144671568).

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

7672082352 is a wasteful number, since it uses less digits than its factorization.

7672082352 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1971 (or 1965 counting only the distinct ones).

The product of its (nonzero) digits is 282240, while the sum is 42.

The square root of 7672082352 is about 87590.4238601458. The cubic root of 7672082352 is about 1972.2914194221.

The spelling of 7672082352 in words is "seven billion, six hundred seventy-two million, eighty-two thousand, three hundred fifty-two".

Divisors: 1 2 3 4 6 8 11 12 16 19 22 24 33 38 44 48 57 66 76 88 114 132 152 176 209 228 264 304 418 456 528 557 627 836 912 1114 1254 1373 1671 1672 2228 2508 2746 3342 3344 4119 4456 5016 5492 6127 6684 8238 8912 10032 10583 10984 12254 13368 15103 16476 18381 21166 21968 24508 26087 26736 30206 31749 32952 36762 42332 45309 49016 52174 60412 63498 65904 73524 78261 84664 90618 98032 104348 116413 120824 126996 147048 156522 169328 181236 208696 232826 241648 253992 286957 294096 313044 349239 362472 417392 465652 507984 573914 626088 698478 724944 764761 860871 931304 1147828 1252176 1396956 1529522 1721742 1862608 2294283 2295656 2793912 3059044 3443484 4588566 4591312 5587824 6118088 6886968 8412371 9177132 12236176 13773936 14530459 16824742 18354264 25237113 29060918 33649484 36708528 43591377 50474226 58121836 67298968 87182754 100948452 116243672 134597936 159835049 174365508 201896904 232487344 319670098 348731016 403793808 479505147 639340196 697462032 959010294 1278680392 1918020588 2557360784 3836041176 7672082352