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3802157640 = 2332519555871
BaseRepresentation
bin1110001010100000…
…0101001001001000
3100210222102121202100
43202220011021020
530241323021030
61425141233400
7163135543461
oct34250051110
910728377670
103802157640
111681245346
128a1402860
13487941528
14280d73d68
15173be5360
hexe2a05248

3802157640 has 96 divisors (see below), whose sum is σ = 13007404800. Its totient is φ = 960543360.

The previous prime is 3802157603. The next prime is 3802157647. The reversal of 3802157640 is 467512083.

3802157640 is a `hidden beast` number, since 3 + 8 + 0 + 2 + 1 + 5 + 7 + 640 = 666.

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 = 3802157595 and 3802157604.

It is not an unprimeable number, because it can be changed into a prime (3802157647) 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 23 ways as a sum of consecutive naturals, for example, 271096 + ... + 284775.

It is an arithmetic number, because the mean of its divisors is an integer number (135493800).

Almost surely, 23802157640 is an apocalyptic number.

3802157640 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

3802157640 is an abundant number, since it is smaller than the sum of its proper divisors (9205247160).

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

3802157640 is a wasteful number, since it uses less digits than its factorization.

3802157640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 555907 (or 555900 counting only the distinct ones).

The product of its (nonzero) digits is 40320, while the sum is 36.

The square root of 3802157640 is about 61661.6383175147. The cubic root of 3802157640 is about 1560.7860437086.

The spelling of 3802157640 in words is "three billion, eight hundred two million, one hundred fifty-seven thousand, six hundred forty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 18 19 20 24 30 36 38 40 45 57 60 72 76 90 95 114 120 152 171 180 190 228 285 342 360 380 456 570 684 760 855 1140 1368 1710 2280 3420 6840 555871 1111742 1667613 2223484 2779355 3335226 4446968 5002839 5558710 6670452 8338065 10005678 10561549 11117420 13340904 16676130 20011356 21123098 22234840 25014195 31684647 33352260 40022712 42246196 50028390 52807745 63369294 66704520 84492392 95053941 100056780 105615490 126738588 158423235 190107882 200113560 211230980 253477176 316846470 380215764 422461960 475269705 633692940 760431528 950539410 1267385880 1901078820 3802157640