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45978030 = 236571753
BaseRepresentation
bin1010111101100…
…1000110101110
310012111221000000
42233121012232
543232244110
64321245130
71065543510
oct257310656
9105457000
1045978030
1123a53a7a
12134937a6
1396aa847
14616bbb0
1540831c0
hex2bd91ae

45978030 has 224 divisors, whose sum is σ = 152985024. Its totient is φ = 9704448.

The previous prime is 45978029. The next prime is 45978041. The reversal of 45978030 is 3087954.

It is a super-2 number, since 2×459780302 = 4227958485361800, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 111 ways as a sum of consecutive naturals, for example, 867484 + ... + 867536.

Almost surely, 245978030 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 45978030, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (76492512).

45978030 is an abundant number, since it is smaller than the sum of its proper divisors (107006994).

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

45978030 is a wasteful number, since it uses less digits than its factorization.

45978030 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 102 (or 87 counting only the distinct ones).

The product of its (nonzero) digits is 30240, while the sum is 36.

The square root of 45978030 is about 6780.7101398010. The cubic root of 45978030 is about 358.2477348571.

The spelling of 45978030 in words is "forty-five million, nine hundred seventy-eight thousand, thirty".