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56473440 = 2535294057
BaseRepresentation
bin1101011101101…
…1011101100000
310221021010222220
43113123131200
5103424122230
65334231040
71254005412
oct327333540
9127233886
1056473440
1129972371
1216ab5480
13b913a4a
1477009b2
154e57d10
hex35db760

56473440 has 96 divisors (see below), whose sum is σ = 184070880. Its totient is φ = 14536704.

The previous prime is 56473427. The next prime is 56473447. The reversal of 56473440 is 4437465.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (96).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (56473447) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 11892 + ... + 15948.

It is an arithmetic number, because the mean of its divisors is an integer number (1917405).

Almost surely, 256473440 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 56473440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (92035440).

56473440 is an abundant number, since it is smaller than the sum of its proper divisors (127597440).

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

56473440 is a wasteful number, since it uses less digits than its factorization.

56473440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4104 (or 4096 counting only the distinct ones).

The product of its (nonzero) digits is 40320, while the sum is 33.

The square root of 56473440 is about 7514.8812365865. The cubic root of 56473440 is about 383.6613768265.

The spelling of 56473440 in words is "fifty-six million, four hundred seventy-three thousand, four hundred forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 29 30 32 40 48 58 60 80 87 96 116 120 145 160 174 232 240 290 348 435 464 480 580 696 870 928 1160 1392 1740 2320 2784 3480 4057 4640 6960 8114 12171 13920 16228 20285 24342 32456 40570 48684 60855 64912 81140 97368 117653 121710 129824 162280 194736 235306 243420 324560 352959 389472 470612 486840 588265 649120 705918 941224 973680 1176530 1411836 1764795 1882448 1947360 2353060 2823672 3529590 3764896 4706120 5647344 7059180 9412240 11294688 14118360 18824480 28236720 56473440