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45957978 = 23211221101
BaseRepresentation
bin1010111101010…
…0001101011010
310012110220111100
42233110031122
543231123403
64321012230
71065431163
oct257241532
9105426440
1045957978
1123a3aa00
1213484076
1396a1691
14616476a
15407c2a3
hex2bd435a

45957978 has 36 divisors (see below), whose sum is σ = 109456074. Its totient is φ = 13926000.

The previous prime is 45957973. The next prime is 45957983. The reversal of 45957978 is 87975954.

It is an interprime number because it is at equal distance from previous prime (45957973) and next prime (45957983).

It can be written as a sum of positive squares in only one way, i.e., 43125489 + 2832489 = 6567^2 + 1683^2 .

It is a super-2 number, since 2×459579782 = 4224271483696968, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (45957971) 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, 8373 + ... + 12728.

Almost surely, 245957978 is an apocalyptic number.

45957978 is an abundant number, since it is smaller than the sum of its proper divisors (63498096).

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

45957978 is a wasteful number, since it uses less digits than its factorization.

45957978 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 21131 (or 21117 counting only the distinct ones).

The product of its digits is 3175200, while the sum is 54.

The square root of 45957978 is about 6779.2313723607. The cubic root of 45957978 is about 358.1956474569.

The spelling of 45957978 in words is "forty-five million, nine hundred fifty-seven thousand, nine hundred seventy-eight".

Divisors: 1 2 3 6 9 11 18 22 33 66 99 121 198 242 363 726 1089 2178 21101 42202 63303 126606 189909 232111 379818 464222 696333 1392666 2088999 2553221 4177998 5106442 7659663 15319326 22978989 45957978