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46800040 = 2357192463
BaseRepresentation
bin1011001010000…
…1110010101000
310021001200120211
42302201302220
543440100130
64351030504
71105536160
oct262416250
9107050524
1046800040
1124465621
121380b434
139907a41
1463035a0
154196a2a
hex2ca1ca8

46800040 has 96 divisors (see below), whose sum is σ = 127284480. Its totient is φ = 15168384.

The previous prime is 46800037. The next prime is 46800053. The reversal of 46800040 is 4000864.

It is a junction number, because it is equal to n+sod(n) for n = 46799984 and 46800020.

It is an unprimeable number.

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, 100849 + ... + 101311.

It is an arithmetic number, because the mean of its divisors is an integer number (1325880).

Almost surely, 246800040 is an apocalyptic number.

46800040 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 46800040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (63642240).

46800040 is an abundant number, since it is smaller than the sum of its proper divisors (80484440).

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

46800040 is a wasteful number, since it uses less digits than its factorization.

46800040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 519 (or 496 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 22.

The square root of 46800040 is about 6841.0554741209. The cubic root of 46800040 is about 360.3700926524.

The spelling of 46800040 in words is "forty-six million, eight hundred thousand, forty".

Divisors: 1 2 4 5 7 8 10 14 19 20 28 35 38 40 56 70 76 95 133 140 152 190 266 280 361 380 463 532 665 722 760 926 1064 1330 1444 1805 1852 2315 2527 2660 2888 3241 3610 3704 4630 5054 5320 6482 7220 8797 9260 10108 12635 12964 14440 16205 17594 18520 20216 25270 25928 32410 35188 43985 50540 61579 64820 70376 87970 101080 123158 129640 167143 175940 246316 307895 334286 351880 492632 615790 668572 835715 1170001 1231580 1337144 1671430 2340002 2463160 3342860 4680004 5850005 6685720 9360008 11700010 23400020 46800040