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45826950 = 23521371331
BaseRepresentation
bin1010111011010…
…0001110000110
310012020020202110
42232310032012
543212430300
64314121450
71064344161
oct256641606
9105206673
1045826950
1123960514
1213420286
139656b50
14612cad8
154053550
hex2bb4386

45826950 has 96 divisors (see below), whose sum is σ = 124492032. Its totient is φ = 11088000.

The previous prime is 45826939. The next prime is 45826967. The reversal of 45826950 is 5962854.

45826950 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 (39).

It is a junction number, because it is equal to n+sod(n) for n = 45826899 and 45826908.

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 47 ways as a sum of consecutive naturals, for example, 138285 + ... + 138615.

It is an arithmetic number, because the mean of its divisors is an integer number (1296792).

Almost surely, 245826950 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 45826950, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (62246016).

45826950 is an abundant number, since it is smaller than the sum of its proper divisors (78665082).

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

45826950 is a wasteful number, since it uses less digits than its factorization.

45826950 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 430 (or 425 counting only the distinct ones).

The product of its (nonzero) digits is 86400, while the sum is 39.

The square root of 45826950 is about 6769.5605470370. The cubic root of 45826950 is about 357.8549134839.

The spelling of 45826950 in words is "forty-five million, eight hundred twenty-six thousand, nine hundred fifty".

Divisors: 1 2 3 5 6 10 13 15 25 26 30 39 50 65 71 75 78 130 142 150 195 213 325 331 355 390 426 650 662 710 923 975 993 1065 1655 1775 1846 1950 1986 2130 2769 3310 3550 4303 4615 4965 5325 5538 8275 8606 9230 9930 10650 12909 13845 16550 21515 23075 23501 24825 25818 27690 43030 46150 47002 49650 64545 69225 70503 107575 117505 129090 138450 141006 215150 235010 305513 322725 352515 587525 611026 645450 705030 916539 1175050 1527565 1762575 1833078 3055130 3525150 4582695 7637825 9165390 15275650 22913475 45826950