Search a number
-
+
83352870 = 232517157347
BaseRepresentation
bin1001111011111…
…01110100100110
312210211202122100
410331331310212
5132314242440
612134312530
72031326166
oct475756446
9183752570
1083352870
1143061277
1223ab8746
1314365533
14b0da5a6
1574b7230
hex4f7dd26

83352870 has 96 divisors (see below), whose sum is σ = 231592608. Its totient is φ = 20726784.

The previous prime is 83352847. The next prime is 83352911. The reversal of 83352870 is 7825338.

It is a congruent number.

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 47 ways as a sum of consecutive naturals, for example, 240037 + ... + 240383.

It is an arithmetic number, because the mean of its divisors is an integer number (2412423).

Almost surely, 283352870 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 83352870, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (115796304).

83352870 is an abundant number, since it is smaller than the sum of its proper divisors (148239738).

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

83352870 is a wasteful number, since it uses less digits than its factorization.

83352870 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 534 (or 531 counting only the distinct ones).

The product of its (nonzero) digits is 40320, while the sum is 36.

The square root of 83352870 is about 9129.7792963467. The cubic root of 83352870 is about 436.8243634018.

The spelling of 83352870 in words is "eighty-three million, three hundred fifty-two thousand, eight hundred seventy".

Divisors: 1 2 3 5 6 9 10 15 17 18 30 34 45 51 85 90 102 153 157 170 255 306 314 347 471 510 694 765 785 942 1041 1413 1530 1570 1735 2082 2355 2669 2826 3123 3470 4710 5205 5338 5899 6246 7065 8007 10410 11798 13345 14130 15615 16014 17697 24021 26690 29495 31230 35394 40035 48042 53091 54479 58990 80070 88485 106182 108958 120105 163437 176970 240210 265455 272395 326874 490311 530910 544790 817185 926143 980622 1634370 1852286 2451555 2778429 4630715 4903110 5556858 8335287 9261430 13892145 16670574 27784290 41676435 83352870