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46240038 = 23313199331
BaseRepresentation
bin1011000001100…
…1000100100110
310020000020102000
42300121010212
543314140123
64331030130
71101014415
oct260310446
9106006360
1046240038
1124112909
121359b346
13976cb90
1461d947c
1540d5b43
hex2c19126

46240038 has 64 divisors (see below), whose sum is σ = 111552000. Its totient is φ = 14113440.

The previous prime is 46240031. The next prime is 46240049. The reversal of 46240038 is 83004264.

46240038 is a `hidden beast` number, since 4 + 624 + 0 + 0 + 38 = 666.

It is a super-2 number, since 2×462400382 = 4276282228482888, which contains 22 as substring.

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

It is a junction number, because it is equal to n+sod(n) for n = 46239993 and 46240020.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (46240031) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 139533 + ... + 139863.

It is an arithmetic number, because the mean of its divisors is an integer number (1743000).

Almost surely, 246240038 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 46240038, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (55776000).

46240038 is an abundant number, since it is smaller than the sum of its proper divisors (65311962).

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

46240038 is a wasteful number, since it uses less digits than its factorization.

46240038 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 554 (or 548 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 27.

The square root of 46240038 is about 6800.0027941171. The cubic root of 46240038 is about 358.9269435944.

The spelling of 46240038 in words is "forty-six million, two hundred forty thousand, thirty-eight".

Divisors: 1 2 3 6 9 13 18 26 27 39 54 78 117 199 234 331 351 398 597 662 702 993 1194 1791 1986 2587 2979 3582 4303 5174 5373 5958 7761 8606 8937 10746 12909 15522 17874 23283 25818 38727 46566 65869 69849 77454 116181 131738 139698 197607 232362 395214 592821 856297 1185642 1712594 1778463 2568891 3556926 5137782 7706673 15413346 23120019 46240038