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45430848 = 263361431
BaseRepresentation
bin1010110101001…
…1100001000000
310011111010102000
42231103201000
543112241343
64301424000
71061104311
oct255234100
9104433360
1045430848
112370a961
121326b000
139548778
146068608
153ec5ed3
hex2b53840

45430848 has 112 divisors (see below), whose sum is σ = 136062720. Its totient is φ = 14860800.

The previous prime is 45430813. The next prime is 45430867. The reversal of 45430848 is 84803454.

It is a Smith number, since the sum of its digits (36) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (36).

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, 105193 + ... + 105623.

Almost surely, 245430848 is an apocalyptic number.

45430848 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 45430848, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (68031360).

45430848 is an abundant number, since it is smaller than the sum of its proper divisors (90631872).

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

45430848 is a wasteful number, since it uses less digits than its factorization.

45430848 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 513 (or 497 counting only the distinct ones).

The product of its (nonzero) digits is 61440, while the sum is 36.

The square root of 45430848 is about 6740.2409452482. The cubic root of 45430848 is about 356.8208973798.

The spelling of 45430848 in words is "forty-five million, four hundred thirty thousand, eight hundred forty-eight".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 61 64 72 96 108 122 144 183 192 216 244 288 366 431 432 488 549 576 732 862 864 976 1098 1293 1464 1647 1724 1728 1952 2196 2586 2928 3294 3448 3879 3904 4392 5172 5856 6588 6896 7758 8784 10344 11637 11712 13176 13792 15516 17568 20688 23274 26291 26352 27584 31032 35136 41376 46548 52582 52704 62064 78873 82752 93096 105164 105408 124128 157746 186192 210328 236619 248256 315492 372384 420656 473238 630984 709857 744768 841312 946476 1261968 1419714 1682624 1892952 2523936 2839428 3785904 5047872 5678856 7571808 11357712 15143616 22715424 45430848