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45790976 = 2871123101
BaseRepresentation
bin1010111010101…
…1011100000000
310012011102102002
42232223130000
543210302401
64313243132
71064134250
oct256533400
9105142362
1045790976
1123936490
12134034a8
13964366a
14611d960
154047a6b
hex2bab700

45790976 has 144 divisors (see below), whose sum is σ = 120089088. Its totient is φ = 16896000.

The previous prime is 45790951. The next prime is 45790991. The reversal of 45790976 is 67909754.

It is a self number, because there is not a number n which added to its sum of digits gives 45790976.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 453326 + ... + 453426.

It is an arithmetic number, because the mean of its divisors is an integer number (833952).

Almost surely, 245790976 is an apocalyptic number.

45790976 is a gapful number since it is divisible by the number (46) 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 45790976, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (60044544).

45790976 is an abundant number, since it is smaller than the sum of its proper divisors (74298112).

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

45790976 is a wasteful number, since it uses less digits than its factorization.

45790976 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 158 (or 144 counting only the distinct ones).

The product of its (nonzero) digits is 476280, while the sum is 47.

The square root of 45790976 is about 6766.9029843792. The cubic root of 45790976 is about 357.7612506743.

The spelling of 45790976 in words is "forty-five million, seven hundred ninety thousand, nine hundred seventy-six".

Divisors: 1 2 4 7 8 11 14 16 22 23 28 32 44 46 56 64 77 88 92 101 112 128 154 161 176 184 202 224 253 256 308 322 352 368 404 448 506 616 644 704 707 736 808 896 1012 1111 1232 1288 1408 1414 1472 1616 1771 1792 2024 2222 2323 2464 2576 2816 2828 2944 3232 3542 4048 4444 4646 4928 5152 5656 5888 6464 7084 7777 8096 8888 9292 9856 10304 11312 12928 14168 15554 16192 16261 17776 18584 19712 20608 22624 25553 25856 28336 31108 32384 32522 35552 37168 41216 45248 51106 56672 62216 64768 65044 71104 74336 90496 102212 113344 124432 130088 142208 148672 178871 180992 204424 226688 248864 260176 284416 297344 357742 408848 453376 497728 520352 594688 715484 817696 995456 1040704 1430968 1635392 1990912 2081408 2861936 3270784 4162816 5723872 6541568 11447744 22895488 45790976