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45423400 = 23521121877
BaseRepresentation
bin1010110101000…
…1101100101000
310011110202012011
42231101230220
543112022100
64301325304
71061043511
oct255215450
9104422164
1045423400
1123705300
1213266834
139545269
146065a08
153ec3bba
hex2b51b28

45423400 has 72 divisors (see below), whose sum is σ = 116144910. Its totient is φ = 16508800.

The previous prime is 45423379. The next prime is 45423407. The reversal of 45423400 is 432454.

It is a happy number.

It can be written as a sum of positive squares in 3 ways, for example, as 36072036 + 9351364 = 6006^2 + 3058^2 .

It is a Harshad number since it is a multiple of its sum of digits (22).

It is not an unprimeable number, because it can be changed into a prime (45423407) by changing a digit.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 23262 + ... + 25138.

Almost surely, 245423400 is an apocalyptic number.

45423400 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 45423400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (58072455).

45423400 is an abundant number, since it is smaller than the sum of its proper divisors (70721510).

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

45423400 is a wasteful number, since it uses less digits than its factorization.

45423400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1915 (or 1895 counting only the distinct ones).

The product of its (nonzero) digits is 1920, while the sum is 22.

The square root of 45423400 is about 6739.6884200978. The cubic root of 45423400 is about 356.8013970667.

Adding to 45423400 its reverse (432454), we get a palindrome (45855854).

The spelling of 45423400 in words is "forty-five million, four hundred twenty-three thousand, four hundred".

Divisors: 1 2 4 5 8 10 11 20 22 25 40 44 50 55 88 100 110 121 200 220 242 275 440 484 550 605 968 1100 1210 1877 2200 2420 3025 3754 4840 6050 7508 9385 12100 15016 18770 20647 24200 37540 41294 46925 75080 82588 93850 103235 165176 187700 206470 227117 375400 412940 454234 516175 825880 908468 1032350 1135585 1816936 2064700 2271170 4129400 4542340 5677925 9084680 11355850 22711700 45423400