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45826368 = 263724871
BaseRepresentation
bin1010111011010…
…0000101000000
310012020012221220
42232310011000
543212420433
64314115040
71064342400
oct256640500
9105205856
1045826368
1123960035
121341ba80
1396567c3
14612c800
1540532b3
hex2bb4140

45826368 has 84 divisors (see below), whose sum is σ = 141073632. Its totient is φ = 13090560.

The previous prime is 45826349. The next prime is 45826369. The reversal of 45826368 is 86362854.

It is a tau number, because it is divible by the number of its divisors (84).

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (45826369) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 6973 + ... + 11843.

It is an arithmetic number, because the mean of its divisors is an integer number (1679448).

Almost surely, 245826368 is an apocalyptic number.

45826368 is a gapful number since it is divisible by the number (48) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 45826368, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (70536816).

45826368 is an abundant number, since it is smaller than the sum of its proper divisors (95247264).

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

45826368 is a wasteful number, since it uses less digits than its factorization.

45826368 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4900 (or 4883 counting only the distinct ones).

The product of its digits is 276480, while the sum is 42.

The square root of 45826368 is about 6769.5175603583. The cubic root of 45826368 is about 357.8533985642.

The spelling of 45826368 in words is "forty-five million, eight hundred twenty-six thousand, three hundred sixty-eight".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 32 42 48 49 56 64 84 96 98 112 147 168 192 196 224 294 336 392 448 588 672 784 1176 1344 1568 2352 3136 4704 4871 9408 9742 14613 19484 29226 34097 38968 58452 68194 77936 102291 116904 136388 155872 204582 233808 238679 272776 311744 409164 467616 477358 545552 716037 818328 935232 954716 1091104 1432074 1636656 1909432 2182208 2864148 3273312 3818864 5728296 6546624 7637728 11456592 15275456 22913184 45826368