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3753640040 = 235976771429
BaseRepresentation
bin1101111110111100…
…0000000001101000
3100200121010200010012
43133233000001220
530141412440130
61420245311052
7162006261653
oct33757000150
910617120105
103753640040
111656917357
12889105488
1347a884aa7
1427874489a
1516e80e995
hexdfbc0068

3753640040 has 64 divisors (see below), whose sum is σ = 8551342800. Its totient is φ = 1482743808.

The previous prime is 3753640031. The next prime is 3753640061. The reversal of 3753640040 is 400463573.

It can be written as a sum of positive squares in 8 ways, for example, as 1863303556 + 1890336484 = 43166^2 + 43478^2 .

It is a junction number, because it is equal to n+sod(n) for n = 3753639979 and 3753640006.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2626046 + ... + 2627474.

Almost surely, 23753640040 is an apocalyptic number.

It is an amenable number.

3753640040 is an abundant number, since it is smaller than the sum of its proper divisors (4797702760).

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

3753640040 is a wasteful number, since it uses less digits than its factorization.

3753640040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2214 (or 2210 counting only the distinct ones).

The product of its (nonzero) digits is 30240, while the sum is 32.

The square root of 3753640040 is about 61266.9571628949. The cubic root of 3753640040 is about 1554.1187771095.

The spelling of 3753640040 in words is "three billion, seven hundred fifty-three million, six hundred forty thousand, forty".

Divisors: 1 2 4 5 8 10 20 40 97 194 388 485 677 776 970 1354 1429 1940 2708 2858 3385 3880 5416 5716 6770 7145 11432 13540 14290 27080 28580 57160 65669 131338 138613 262676 277226 328345 525352 554452 656690 693065 967433 1108904 1313380 1386130 1934866 2626760 2772260 3869732 4837165 5544520 7739464 9674330 19348660 38697320 93841001 187682002 375364004 469205005 750728008 938410010 1876820020 3753640040