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830502036 = 2232713793209
BaseRepresentation
bin110001100000000…
…111010010010100
32010212201212121200
4301200013102110
53200102031121
6214224312500
726403102510
oct6140072224
92125655550
10830502036
11396884521
121b2172730
131030a2530
147c429140
154cd9ea26
hex31807494

830502036 has 144 divisors (see below), whose sum is σ = 2617305600. Its totient is φ = 216193536.

The previous prime is 830502019. The next prime is 830502047. The reversal of 830502036 is 630205038.

It is a congruent number.

It is an unprimeable number.

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 47 ways as a sum of consecutive naturals, for example, 257200 + ... + 260408.

Almost surely, 2830502036 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 830502036, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1308652800).

830502036 is an abundant number, since it is smaller than the sum of its proper divisors (1786803564).

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

830502036 is a wasteful number, since it uses less digits than its factorization.

830502036 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3318 (or 3313 counting only the distinct ones).

The product of its (nonzero) digits is 4320, while the sum is 27.

The square root of 830502036 is about 28818.4322266150. The cubic root of 830502036 is about 939.9690785060.

The spelling of 830502036 in words is "eight hundred thirty million, five hundred two thousand, thirty-six".

Divisors: 1 2 3 4 6 7 9 12 13 14 18 21 26 28 36 39 42 52 63 78 79 84 91 117 126 156 158 182 234 237 252 273 316 364 468 474 546 553 711 819 948 1027 1092 1106 1422 1638 1659 2054 2212 2844 3081 3209 3276 3318 4108 4977 6162 6418 6636 7189 9243 9627 9954 12324 12836 14378 18486 19254 19908 21567 22463 28756 28881 36972 38508 41717 43134 44926 57762 64701 67389 83434 86268 89852 115524 125151 129402 134778 166868 202167 250302 253511 258804 269556 292019 375453 404334 500604 507022 584038 750906 760533 808668 876057 1014044 1168076 1501812 1521066 1752114 1774577 2281599 2628171 3042132 3295643 3504228 3549154 4563198 5256342 5323731 6591286 7098308 9126396 9886929 10512684 10647462 13182572 15971193 19773858 21294924 23069501 29660787 31942386 39547716 46139002 59321574 63884772 69208503 92278004 118643148 138417006 207625509 276834012 415251018 830502036