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56073472 = 287132983
BaseRepresentation
bin1101010111100…
…1110100000000
310220111211100021
43111321310000
5103323322342
65321503224
71250421340
oct325716400
9126454307
1056073472
1129719914
1216941b14
13b803990
147638d20
154dc9567
hex3579d00

56073472 has 144 divisors (see below), whose sum is σ = 144224640. Its totient is φ = 21159936.

The previous prime is 56073431. The next prime is 56073473. The reversal of 56073472 is 27437065.

It is a happy number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (56073473) 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, 675543 + ... + 675625.

It is an arithmetic number, because the mean of its divisors is an integer number (1001560).

Almost surely, 256073472 is an apocalyptic number.

56073472 is a gapful number since it is divisible by the number (52) 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 56073472, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (72112320).

56073472 is an abundant number, since it is smaller than the sum of its proper divisors (88151168).

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

56073472 is a wasteful number, since it uses less digits than its factorization.

56073472 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 148 (or 134 counting only the distinct ones).

The product of its (nonzero) digits is 35280, while the sum is 34.

The square root of 56073472 is about 7488.2222189249. Note that the first 4 decimals coincide. The cubic root of 56073472 is about 382.7534811483.

The spelling of 56073472 in words is "fifty-six million, seventy-three thousand, four hundred seventy-two".

Divisors: 1 2 4 7 8 13 14 16 26 28 29 32 52 56 58 64 83 91 104 112 116 128 166 182 203 208 224 232 256 332 364 377 406 416 448 464 581 664 728 754 812 832 896 928 1079 1162 1328 1456 1508 1624 1664 1792 1856 2158 2324 2407 2639 2656 2912 3016 3248 3328 3712 4316 4648 4814 5278 5312 5824 6032 6496 7424 7553 8632 9296 9628 10556 10624 11648 12064 12992 15106 16849 17264 18592 19256 21112 21248 23296 24128 25984 30212 31291 33698 34528 37184 38512 42224 48256 51968 60424 62582 67396 69056 74368 77024 84448 96512 120848 125164 134792 138112 148736 154048 168896 219037 241696 250328 269584 276224 308096 337792 438074 483392 500656 539168 616192 675584 876148 966784 1001312 1078336 1752296 1933568 2002624 2156672 3504592 4005248 4313344 7009184 8010496 14018368 28036736 56073472