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59944416 = 253789203
BaseRepresentation
bin1110010010101…
…0110111100000
311011210111021120
43210222313200
5110321210131
65540452240
71325343030
oct344526740
9134714246
1059944416
1130923144
12180aa080
13c55a88c
147d658c0
1553e1496
hex392ade0

59944416 has 48 divisors (see below), whose sum is σ = 179835264. Its totient is φ = 17126784.

The previous prime is 59944399. The next prime is 59944427. The reversal of 59944416 is 61444995.

59944416 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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

It is a Smith number, since the sum of its digits (42) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a congruent number.

It is an unprimeable number.

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, 43930 + ... + 45273.

It is an arithmetic number, because the mean of its divisors is an integer number (3746568).

Almost surely, 259944416 is an apocalyptic number.

59944416 is a gapful number since it is divisible by the number (56) formed by its first and last digit.

It is an amenable number.

59944416 is an abundant number, since it is smaller than the sum of its proper divisors (119890848).

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

59944416 is a wasteful number, since it uses less digits than its factorization.

59944416 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 89223 (or 89215 counting only the distinct ones).

The product of its digits is 155520, while the sum is 42.

The square root of 59944416 is about 7742.3779292928. The cubic root of 59944416 is about 391.3658356537.

The spelling of 59944416 in words is "fifty-nine million, nine hundred forty-four thousand, four hundred sixteen".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 32 42 48 56 84 96 112 168 224 336 672 89203 178406 267609 356812 535218 624421 713624 1070436 1248842 1427248 1873263 2140872 2497684 2854496 3746526 4281744 4995368 7493052 8563488 9990736 14986104 19981472 29972208 59944416