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55457440 = 2552711279
BaseRepresentation
bin1101001110001…
…1011010100000
310212100112022021
43103203122200
5103144114230
65300351224
71242244333
oct323433240
9125315267
1055457440
1129338aa5
12166a5514
13b64946c
14751861a
154d06c7a
hex34e36a0

55457440 has 48 divisors (see below), whose sum is σ = 131604480. Its totient is φ = 22083840.

The previous prime is 55457431. The next prime is 55457449. The reversal of 55457440 is 4475455.

It is an interprime number because it is at equal distance from previous prime (55457431) and next prime (55457449).

It is a junction number, because it is equal to n+sod(n) for n = 55457396 and 55457405.

It is not an unprimeable number, because it can be changed into a prime (55457449) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 42721 + ... + 43999.

It is an arithmetic number, because the mean of its divisors is an integer number (2741760).

Almost surely, 255457440 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 55457440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (65802240).

55457440 is an abundant number, since it is smaller than the sum of its proper divisors (76147040).

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

55457440 is a wasteful number, since it uses less digits than its factorization.

55457440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1565 (or 1557 counting only the distinct ones).

The product of its (nonzero) digits is 56000, while the sum is 34.

The square root of 55457440 is about 7446.9752248816. The cubic root of 55457440 is about 381.3466532695.

The spelling of 55457440 in words is "fifty-five million, four hundred fifty-seven thousand, four hundred forty".

Divisors: 1 2 4 5 8 10 16 20 32 40 80 160 271 542 1084 1279 1355 2168 2558 2710 4336 5116 5420 6395 8672 10232 10840 12790 20464 21680 25580 40928 43360 51160 102320 204640 346609 693218 1386436 1733045 2772872 3466090 5545744 6932180 11091488 13864360 27728720 55457440