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45397440 = 26325111433
BaseRepresentation
bin1010110100101…
…1010111000000
310011102102120200
42231023113000
543110204230
64301005200
71060605024
oct255132700
9104372520
1045397440
1123697850
1213253800
1395364ba
14605a384
153ebb160
hex2b4b5c0

45397440 has 168 divisors, whose sum is σ = 170462448. Its totient is φ = 10997760.

The previous prime is 45397439. The next prime is 45397477. The reversal of 45397440 is 4479354.

It is a Smith number, since the sum of its digits (36) coincides with the sum of the digits of its prime factors.

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

It is a junction number, because it is equal to n+sod(n) for n = 45397395 and 45397404.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 30964 + ... + 32396.

Almost surely, 245397440 is an apocalyptic number.

45397440 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 45397440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (85231224).

45397440 is an abundant number, since it is smaller than the sum of its proper divisors (125065008).

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

45397440 is a wasteful number, since it uses less digits than its factorization.

45397440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1467 (or 1454 counting only the distinct ones).

The product of its (nonzero) digits is 60480, while the sum is 36.

The square root of 45397440 is about 6737.7622397945. The cubic root of 45397440 is about 356.7334120679.

The spelling of 45397440 in words is "forty-five million, three hundred ninety-seven thousand, four hundred forty".