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44684640 = 253257111331
BaseRepresentation
bin1010101001110…
…1010101100000
310010002012210200
42222131111200
542414402030
64233425200
71051545630
oct252352540
9103065720
1044684640
1123250260
1212b6b200
139346c20
145d126c0
153dc9d60
hex2a9d560

44684640 has 576 divisors, whose sum is σ = 211341312. Its totient is φ = 8294400.

The previous prime is 44684617. The next prime is 44684663. The reversal of 44684640 is 4648644.

44684640 is a `hidden beast` number, since 4 + 4 + 6 + 8 + 4 + 640 = 666.

It is an interprime number because it is at equal distance from previous prime (44684617) and next prime (44684663).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a super Niven number, because it is divisible the sum of any subset of its (nonzero) digits.

It is a junction number, because it is equal to n+sod(n) for n = 44684595 and 44684604.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 1441425 + ... + 1441455.

It is an arithmetic number, because the mean of its divisors is an integer number (366912).

Almost surely, 244684640 is an apocalyptic number.

44684640 is a gapful number since it is divisible by the number (40) 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 44684640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (105670656).

44684640 is an abundant number, since it is smaller than the sum of its proper divisors (166656672).

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

44684640 is a wasteful number, since it uses less digits than its factorization.

44684640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 83 (or 72 counting only the distinct ones).

The product of its (nonzero) digits is 73728, while the sum is 36.

The square root of 44684640 is about 6684.6570592664. The cubic root of 44684640 is about 354.8564916211.

The spelling of 44684640 in words is "forty-four million, six hundred eighty-four thousand, six hundred forty".