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83373136 = 24711313759
BaseRepresentation
bin1001111100000…
…10110001010000
312210212210102221
410332002301100
5132320420021
612134550424
72031442240
oct476026120
9183783387
1083373136
1143075520
1223b08414
1314371822
14b103b20
1574bd241
hex4f82c50

83373136 has 160 divisors (see below), whose sum is σ = 217128960. Its totient is φ = 30067200.

The previous prime is 83373089. The next prime is 83373139. The reversal of 83373136 is 63137338.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (83373139) 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 31 ways as a sum of consecutive naturals, for example, 1413075 + ... + 1413133.

It is an arithmetic number, because the mean of its divisors is an integer number (1357056).

Almost surely, 283373136 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 83373136, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (108564480).

83373136 is an abundant number, since it is smaller than the sum of its proper divisors (133755824).

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

83373136 is a wasteful number, since it uses less digits than its factorization.

83373136 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 153 (or 147 counting only the distinct ones).

The product of its digits is 27216, while the sum is 34.

The square root of 83373136 is about 9130.8891133339. The cubic root of 83373136 is about 436.8597629634.

The spelling of 83373136 in words is "eighty-three million, three hundred seventy-three thousand, one hundred thirty-six".

Divisors: 1 2 4 7 8 11 14 16 22 28 31 37 44 56 59 62 74 77 88 112 118 124 148 154 176 217 236 248 259 296 308 341 407 413 434 472 496 518 592 616 649 682 814 826 868 944 1036 1147 1232 1298 1364 1628 1652 1736 1829 2072 2183 2294 2387 2596 2728 2849 3256 3304 3472 3658 4144 4366 4543 4588 4774 5192 5456 5698 6512 6608 7316 8029 8732 9086 9176 9548 10384 11396 12617 12803 14632 15281 16058 17464 18172 18352 19096 20119 22792 24013 25234 25606 29264 30562 32116 34928 36344 38192 40238 45584 48026 50468 51212 61124 64232 67673 72688 80476 88319 96052 100936 102424 122248 128464 135346 140833 160952 168091 176638 192104 201872 204848 244496 270692 281666 321904 336182 353276 384208 473711 541384 563332 672364 706552 744403 947422 1082768 1126664 1344728 1413104 1488806 1894844 2253328 2689456 2977612 3789688 5210821 5955224 7579376 10421642 11910448 20843284 41686568 83373136