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5449856256 = 28351323293
BaseRepresentation
bin1010001001101011…
…00011010100000000
3112001210212101100000
411010311203110000
542130130400011
62300441200000
7252024004515
oct50465432400
915053771300
105449856256
112347335739
121081190000
1368b108020
14399b2330c
1521d6b7356
hex144d63500

5449856256 has 432 divisors, whose sum is σ = 18374219136. Its totient is φ = 1598496768.

The previous prime is 5449856239. The next prime is 5449856287. The reversal of 5449856256 is 6526589445.

5449856256 is a `hidden beast` number, since 5 + 4 + 4 + 9 + 8 + 5 + 625 + 6 = 666.

It is a tau number, because it is divible by the number of its divisors (432).

It is a super-2 number, since 2×54498562562 = 59401866422124675072, which contains 22 as substring.

It is a Smith number, since the sum of its digits (54) 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 (54).

Its product of digits (10368000) is a multiple of the sum of its prime factors (360).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 18600046 + ... + 18600338.

Almost surely, 25449856256 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 5449856256, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9187109568).

5449856256 is an abundant number, since it is smaller than the sum of its proper divisors (12924362880).

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

5449856256 is a wasteful number, since it uses less digits than its factorization.

5449856256 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 360 (or 334 counting only the distinct ones).

The product of its digits is 10368000, while the sum is 54.

The square root of 5449856256 is about 73823.1417375338. The cubic root of 5449856256 is about 1759.7933917249.

The spelling of 5449856256 in words is "five billion, four hundred forty-nine million, eight hundred fifty-six thousand, two hundred fifty-six".