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838420640 = 25521312459
BaseRepresentation
bin110001111110010…
…100100010100000
32011102122011220022
4301332110202200
53204113430030
6215110133012
726530313021
oct6176244240
92142564808
10838420640
113a02a2922
121b4951168
131049158b5
147d4cac48
154d915de5
hex31f948a0

838420640 has 48 divisors (see below), whose sum is σ = 1982504160. Its totient is φ = 335074560.

The previous prime is 838420591. The next prime is 838420643. The reversal of 838420640 is 46024838.

It is a self number, because there is not a number n which added to its sum of digits gives 838420640.

It is not an unprimeable number, because it can be changed into a prime (838420643) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 339731 + ... + 342189.

It is an arithmetic number, because the mean of its divisors is an integer number (41302170).

Almost surely, 2838420640 is an apocalyptic number.

838420640 is a gapful number since it is divisible by the number (80) formed by its first and last digit.

It is an amenable number.

838420640 is an abundant number, since it is smaller than the sum of its proper divisors (1144083520).

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

838420640 is a wasteful number, since it uses less digits than its factorization.

838420640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4605 (or 4597 counting only the distinct ones).

The product of its (nonzero) digits is 36864, while the sum is 35.

The square root of 838420640 is about 28955.4941246044. The cubic root of 838420640 is about 942.9470808430.

The spelling of 838420640 in words is "eight hundred thirty-eight million, four hundred twenty thousand, six hundred forty".

Divisors: 1 2 4 5 8 10 16 20 32 40 80 160 2131 2459 4262 4918 8524 9836 10655 12295 17048 19672 21310 24590 34096 39344 42620 49180 68192 78688 85240 98360 170480 196720 340960 393440 5240129 10480258 20960516 26200645 41921032 52401290 83842064 104802580 167684128 209605160 419210320 838420640