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55990480 = 2457137691
BaseRepresentation
bin1101010110010…
…1100011010000
310220100121111111
43111211203100
5103313143410
65320023104
71246624360
oct325454320
9126317444
1055990480
1129672527
1216901a94
13b7a4c80
1476169a0
154daeb8a
hex35658d0

55990480 has 80 divisors (see below), whose sum is σ = 160239744. Its totient is φ = 17717760.

The previous prime is 55990471. The next prime is 55990481. The reversal of 55990480 is 8409955.

It is a tau number, because it is divible by the number of its divisors (80).

It is a Harshad number since it is a multiple of its sum of digits (40).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (55990481) 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, 3435 + ... + 11125.

Almost surely, 255990480 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 55990480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (80119872).

55990480 is an abundant number, since it is smaller than the sum of its proper divisors (104249264).

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

55990480 is a wasteful number, since it uses less digits than its factorization.

55990480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7724 (or 7718 counting only the distinct ones).

The product of its (nonzero) digits is 64800, while the sum is 40.

The square root of 55990480 is about 7482.6786647564. The cubic root of 55990480 is about 382.5645554391.

The spelling of 55990480 in words is "fifty-five million, nine hundred ninety thousand, four hundred eighty".

Divisors: 1 2 4 5 7 8 10 13 14 16 20 26 28 35 40 52 56 65 70 80 91 104 112 130 140 182 208 260 280 364 455 520 560 728 910 1040 1456 1820 3640 7280 7691 15382 30764 38455 53837 61528 76910 99983 107674 123056 153820 199966 215348 269185 307640 399932 430696 499915 538370 615280 699881 799864 861392 999830 1076740 1399762 1599728 1999660 2153480 2799524 3499405 3999320 4306960 5599048 6998810 7998640 11198096 13997620 27995240 55990480