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46072380 = 22351722657
BaseRepresentation
bin1010111111000…
…0001000111100
310012200201102110
42233300020330
543243304010
64323254020
71066415544
oct257601074
9105621373
1046072380
1124008952
121351a310
139711783
146194324
1540a1120
hex2bf023c

46072380 has 72 divisors (see below), whose sum is σ = 137089008. Its totient is φ = 11558912.

The previous prime is 46072379. The next prime is 46072391. The reversal of 46072380 is 8327064.

46072380 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 16012 + ... + 18668.

It is an arithmetic number, because the mean of its divisors is an integer number (1904014).

Almost surely, 246072380 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 46072380, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (68544504).

46072380 is an abundant number, since it is smaller than the sum of its proper divisors (91016628).

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

46072380 is a wasteful number, since it uses less digits than its factorization.

46072380 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2703 (or 2684 counting only the distinct ones).

The product of its (nonzero) digits is 8064, while the sum is 30.

The square root of 46072380 is about 6787.6638101780. The cubic root of 46072380 is about 358.4926168851.

The spelling of 46072380 in words is "forty-six million, seventy-two thousand, three hundred eighty".

Divisors: 1 2 3 4 5 6 10 12 15 17 20 30 34 51 60 68 85 102 170 204 255 289 340 510 578 867 1020 1156 1445 1734 2657 2890 3468 4335 5314 5780 7971 8670 10628 13285 15942 17340 26570 31884 39855 45169 53140 79710 90338 135507 159420 180676 225845 271014 451690 542028 677535 767873 903380 1355070 1535746 2303619 2710140 3071492 3839365 4607238 7678730 9214476 11518095 15357460 23036190 46072380