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76828230 = 23353167137
BaseRepresentation
bin1001001010001…
…00111001000110
312100120021112000
410211010321012
5124132000410
611342410130
71622013003
oct445047106
9170507460
1076828230
113a405206
1221890946
1312bbc7bb
14a2bc8aa
156b28dc0
hex4944e46

76828230 has 128 divisors (see below), whose sum is σ = 216207360. Its totient is φ = 19388160.

The previous prime is 76828189. The next prime is 76828231. The reversal of 76828230 is 3282867.

It is a happy number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (76828231) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 560722 + ... + 560858.

It is an arithmetic number, because the mean of its divisors is an integer number (1689120).

Almost surely, 276828230 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 76828230, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (108103680).

76828230 is an abundant number, since it is smaller than the sum of its proper divisors (139379130).

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

76828230 is a wasteful number, since it uses less digits than its factorization.

76828230 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 251 (or 245 counting only the distinct ones).

The product of its (nonzero) digits is 32256, while the sum is 36.

The square root of 76828230 is about 8765.1714187459. The cubic root of 76828230 is about 425.1155026323.

The spelling of 76828230 in words is "seventy-six million, eight hundred twenty-eight thousand, two hundred thirty".

Divisors: 1 2 3 5 6 9 10 15 18 27 30 31 45 54 62 67 90 93 134 135 137 155 186 201 270 274 279 310 335 402 411 465 558 603 670 685 822 837 930 1005 1206 1233 1370 1395 1674 1809 2010 2055 2077 2466 2790 3015 3618 3699 4110 4154 4185 4247 6030 6165 6231 7398 8370 8494 9045 9179 10385 12330 12462 12741 18090 18358 18495 18693 20770 21235 25482 27537 31155 36990 37386 38223 42470 45895 55074 56079 62310 63705 76446 82611 91790 93465 112158 114669 127410 137685 165222 186930 191115 229338 247833 275370 280395 284549 382230 413055 495666 560790 569098 573345 826110 853647 1146690 1239165 1422745 1707294 2478330 2560941 2845490 4268235 5121882 7682823 8536470 12804705 15365646 25609410 38414115 76828230