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92055040 = 295711467
BaseRepresentation
bin1010111110010…
…10011000000000
320102012212202221
411133022120000
5142031230130
613045020424
72165312020
oct537123000
9212185687
1092055040
1147a65350
12269b4714
13160c144c
14c323a80
15813587a
hex57ca600

92055040 has 160 divisors (see below), whose sum is σ = 275768064. Its totient is φ = 28631040.

The previous prime is 92054951. The next prime is 92055043. The reversal of 92055040 is 4055029.

It is a tau number, because it is divible by the number of its divisors (160).

It is a junction number, because it is equal to n+sod(n) for n = 92054996 and 92055014.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (92055043) 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 15 ways as a sum of consecutive naturals, for example, 196887 + ... + 197353.

Almost surely, 292055040 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 92055040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (137884032).

92055040 is an abundant number, since it is smaller than the sum of its proper divisors (183713024).

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

92055040 is a wasteful number, since it uses less digits than its factorization.

92055040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 508 (or 492 counting only the distinct ones).

The product of its (nonzero) digits is 1800, while the sum is 25.

The square root of 92055040 is about 9594.5317759649. The cubic root of 92055040 is about 451.5257510473.

Subtracting from 92055040 its reverse (4055029), we obtain a triangular number (88000011 = T13266).

The spelling of 92055040 in words is "ninety-two million, fifty-five thousand, forty".

Divisors: 1 2 4 5 7 8 10 11 14 16 20 22 28 32 35 40 44 55 56 64 70 77 80 88 110 112 128 140 154 160 176 220 224 256 280 308 320 352 385 440 448 467 512 560 616 640 704 770 880 896 934 1120 1232 1280 1408 1540 1760 1792 1868 2240 2335 2464 2560 2816 3080 3269 3520 3584 3736 4480 4670 4928 5137 5632 6160 6538 7040 7472 8960 9340 9856 10274 12320 13076 14080 14944 16345 17920 18680 19712 20548 24640 25685 26152 28160 29888 32690 35959 37360 39424 41096 49280 51370 52304 59776 65380 71918 74720 82192 98560 102740 104608 119552 130760 143836 149440 164384 179795 197120 205480 209216 239104 261520 287672 298880 328768 359590 410960 418432 523040 575344 597760 657536 719180 821920 836864 1046080 1150688 1195520 1315072 1438360 1643840 1673728 2092160 2301376 2630144 2876720 3287680 4184320 4602752 5753440 6575360 8368640 9205504 11506880 13150720 18411008 23013760 46027520 92055040