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80289144 = 233713353
BaseRepresentation
bin1001100100100…
…01110101111000
312121002010000000
410302101311320
5131023223034
611544513000
71663306065
oct462216570
9177063000
1080289144
1141359471
1222a7b760
1313831b90
14a93dc6c
1570ae599
hex4c91d78

80289144 has 128 divisors (see below), whose sum is σ = 243835200. Its totient is φ = 24634368.

The previous prime is 80289133. The next prime is 80289161. The reversal of 80289144 is 44198208.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 80289099 and 80289108.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 227272 + ... + 227624.

Almost surely, 280289144 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 80289144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (121917600).

80289144 is an abundant number, since it is smaller than the sum of its proper divisors (163546056).

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

80289144 is a wasteful number, since it uses less digits than its factorization.

80289144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 393 (or 371 counting only the distinct ones).

The product of its (nonzero) digits is 18432, while the sum is 36.

The square root of 80289144 is about 8960.4209722535. The cubic root of 80289144 is about 431.4054320628.

The spelling of 80289144 in words is "eighty million, two hundred eighty-nine thousand, one hundred forty-four".

Divisors: 1 2 3 4 6 8 9 12 13 18 24 26 27 36 39 52 54 72 78 81 104 108 117 156 162 216 234 243 312 324 351 353 468 486 648 702 706 729 936 972 1053 1059 1404 1412 1458 1944 2106 2118 2187 2808 2824 2916 3159 3177 4212 4236 4374 4589 5832 6318 6354 8424 8472 8748 9178 9477 9531 12636 12708 13767 17496 18356 18954 19062 25272 25416 27534 28431 28593 36712 37908 38124 41301 55068 56862 57186 75816 76248 82602 85779 110136 113724 114372 123903 165204 171558 227448 228744 247806 257337 330408 343116 371709 495612 514674 686232 743418 772011 991224 1029348 1115127 1486836 1544022 2058696 2230254 2973672 3088044 3345381 4460508 6176088 6690762 8921016 10036143 13381524 20072286 26763048 40144572 80289144