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45383640 = 23351312887
BaseRepresentation
bin1010110100011…
…1111111011000
310011101201122120
42231013333120
543104234030
64300421240
71060516551
oct255077730
9104351576
1045383640
1123688445
1213247820
139530133
146055328
153eb7010
hex2b47fd8

45383640 has 64 divisors (see below), whose sum is σ = 137237760. Its totient is φ = 12005760.

The previous prime is 45383633. The next prime is 45383641. The reversal of 45383640 is 4638354.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (45383641) 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, 14277 + ... + 17163.

It is an arithmetic number, because the mean of its divisors is an integer number (2144340).

Almost surely, 245383640 is an apocalyptic number.

45383640 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 45383640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (68618880).

45383640 is an abundant number, since it is smaller than the sum of its proper divisors (91854120).

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

45383640 is a wasteful number, since it uses less digits than its factorization.

45383640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3032 (or 3028 counting only the distinct ones).

The product of its (nonzero) digits is 34560, while the sum is 33.

The square root of 45383640 is about 6736.7380830785. The cubic root of 45383640 is about 356.6972615713.

The spelling of 45383640 in words is "forty-five million, three hundred eighty-three thousand, six hundred forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 30 40 60 120 131 262 393 524 655 786 1048 1310 1572 1965 2620 2887 3144 3930 5240 5774 7860 8661 11548 14435 15720 17322 23096 28870 34644 43305 57740 69288 86610 115480 173220 346440 378197 756394 1134591 1512788 1890985 2269182 3025576 3781970 4538364 5672955 7563940 9076728 11345910 15127880 22691820 45383640