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42620640 = 253588793
BaseRepresentation
bin1010001010010…
…1011011100000
32222012100112020
42202211123200
541402330030
64121301440
71025161266
oct242453340
988170466
1042620640
1122070577
1212334880
138aa361a
145936436
153b1d510
hex28a56e0

42620640 has 48 divisors (see below), whose sum is σ = 134256528. Its totient is φ = 11365376.

The previous prime is 42620621. The next prime is 42620651. The reversal of 42620640 is 4602624.

It is a tau number, because it is divible by the number of its divisors (48).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a self number, because there is not a number n which added to its sum of digits gives 42620640.

It is a congruent number.

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 7 ways as a sum of consecutive naturals, for example, 43917 + ... + 44876.

It is an arithmetic number, because the mean of its divisors is an integer number (2797011).

Almost surely, 242620640 is an apocalyptic number.

42620640 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

42620640 is an abundant number, since it is smaller than the sum of its proper divisors (91635888).

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

42620640 is a wasteful number, since it uses less digits than its factorization.

42620640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 88811 (or 88803 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 24.

The square root of 42620640 is about 6528.4485140039. The cubic root of 42620640 is about 349.3064906956.

The spelling of 42620640 in words is "forty-two million, six hundred twenty thousand, six hundred forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 32 40 48 60 80 96 120 160 240 480 88793 177586 266379 355172 443965 532758 710344 887930 1065516 1331895 1420688 1775860 2131032 2663790 2841376 3551720 4262064 5327580 7103440 8524128 10655160 14206880 21310320 42620640