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40748942592 = 283327721283
BaseRepresentation
bin100101111100110100…
…111000010100000000
310220011212022202121000
4211330310320110000
51131423212130332
630415251132000
72641540203621
oct457464702400
9126155282530
1040748942592
1116310796766
127a928a4000
133ac5299967
141d87c45a48
1510d7625b7c
hex97cd38500

40748942592 has 144 divisors (see below), whose sum is σ = 120942498880. Its totient is φ = 13533308928.

The previous prime is 40748942587. The next prime is 40748942593. The reversal of 40748942592 is 29524984704.

It is a happy number.

40748942592 is a `hidden beast` number, since 4 + 0 + 7 + 4 + 8 + 9 + 42 + 592 = 666.

It is a tau number, because it is divible by the number of its divisors (144).

It is a super-2 number, since 2×407489425922 (a number of 22 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (40748942593) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1903983 + ... + 1925265.

Almost surely, 240748942592 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 40748942592, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (60471249440).

40748942592 is an abundant number, since it is smaller than the sum of its proper divisors (80193556288).

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

40748942592 is a wasteful number, since it uses less digits than its factorization.

40748942592 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 21585 (or 21565 counting only the distinct ones).

The product of its (nonzero) digits is 5806080, while the sum is 54.

The spelling of 40748942592 in words is "forty billion, seven hundred forty-eight million, nine hundred forty-two thousand, five hundred ninety-two".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 64 72 96 108 128 144 192 216 256 277 288 384 432 554 576 768 831 864 1108 1152 1662 1728 2216 2304 2493 3324 3456 4432 4986 6648 6912 7479 8864 9972 13296 14958 17728 19944 21283 26592 29916 35456 39888 42566 53184 59832 63849 70912 79776 85132 106368 119664 127698 159552 170264 191547 212736 239328 255396 319104 340528 383094 478656 510792 574641 638208 681056 766188 957312 1021584 1149282 1362112 1532376 1914624 2043168 2298564 2724224 3064752 4086336 4597128 5448448 5895391 6129504 8172672 9194256 11790782 12259008 16345344 17686173 18388512 23581564 24518016 35372346 36777024 47163128 49036032 53058519 70744692 73554048 94326256 106117038 141489384 147108096 159175557 188652512 212234076 282978768 318351114 377305024 424468152 565957536 636702228 754610048 848936304 1131915072 1273404456 1509220096 1697872608 2263830144 2546808912 3395745216 4527660288 5093617824 6791490432 10187235648 13582980864 20374471296 40748942592