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44669680 = 24511232207
BaseRepresentation
bin1010101001100…
…1101011110000
310010001110021121
42222121223300
542413412210
64233232024
71051454206
oct252315360
9103043247
1044669680
112323aaa0
1212b62614
139340183
145d0b076
153dc56da
hex2a99af0

44669680 has 80 divisors (see below), whose sum is σ = 118278144. Its totient is φ = 15530240.

The previous prime is 44669671. The next prime is 44669683. The reversal of 44669680 is 8696644.

44669680 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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

It is a super-2 number, since 2×446696802 = 3990760622604800, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (44669683) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 19137 + ... + 21343.

Almost surely, 244669680 is an apocalyptic number.

44669680 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 44669680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (59139072).

44669680 is an abundant number, since it is smaller than the sum of its proper divisors (73608464).

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

44669680 is a wasteful number, since it uses less digits than its factorization.

44669680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2254 (or 2248 counting only the distinct ones).

The product of its (nonzero) digits is 248832, while the sum is 43.

The square root of 44669680 is about 6683.5379852291. The cubic root of 44669680 is about 354.8168863216.

The spelling of 44669680 in words is "forty-four million, six hundred sixty-nine thousand, six hundred eighty".

Divisors: 1 2 4 5 8 10 11 16 20 22 23 40 44 46 55 80 88 92 110 115 176 184 220 230 253 368 440 460 506 880 920 1012 1265 1840 2024 2207 2530 4048 4414 5060 8828 10120 11035 17656 20240 22070 24277 35312 44140 48554 50761 88280 97108 101522 121385 176560 194216 203044 242770 253805 388432 406088 485540 507610 558371 812176 971080 1015220 1116742 1942160 2030440 2233484 2791855 4060880 4466968 5583710 8933936 11167420 22334840 44669680