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40419540 = 22335717237
BaseRepresentation
bin1001101000110…
…0000011010100
32211001112012000
42122030003110
540321411130
64002155300
71000363140
oct232140324
984045160
1040419540
11208a7887
1211652b30
1384b27b5
145522220
153836260
hex268c0d4

40419540 has 288 divisors, whose sum is σ = 156791040. Its totient is φ = 8460288.

The previous prime is 40419497. The next prime is 40419541. The reversal of 40419540 is 4591404.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a nialpdrome in base 14.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (40419541) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 1092402 + ... + 1092438.

Almost surely, 240419540 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 40419540, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (78395520).

40419540 is an abundant number, since it is smaller than the sum of its proper divisors (116371500).

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

40419540 is a wasteful number, since it uses less digits than its factorization.

40419540 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 96 (or 71 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 27.

The square root of 40419540 is about 6357.6363532369. The cubic root of 40419540 is about 343.1867054364.

The spelling of 40419540 in words is "forty million, four hundred nineteen thousand, five hundred forty".