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45740448 = 25321319643
BaseRepresentation
bin1010111001111…
…1000110100000
310012001212002200
42232133012200
543202143243
64312213200
71063534035
oct256370640
9105055080
1045740448
1123901526
121339a200
139626670
14610938c
154037ad3
hex2b9f1a0

45740448 has 144 divisors (see below), whose sum is σ = 147682080. Its totient is φ = 13312512.

The previous prime is 45740437. The next prime is 45740459. The reversal of 45740448 is 84404754.

45740448 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (45740437) and next prime (45740459).

It is a tau number, because it is divible by the number of its divisors (144).

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

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, 70815 + ... + 71457.

It is an arithmetic number, because the mean of its divisors is an integer number (1025570).

Almost surely, 245740448 is an apocalyptic number.

45740448 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 45740448, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (73841040).

45740448 is an abundant number, since it is smaller than the sum of its proper divisors (101941632).

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

45740448 is a wasteful number, since it uses less digits than its factorization.

45740448 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 691 (or 680 counting only the distinct ones).

The product of its (nonzero) digits is 71680, while the sum is 36.

The square root of 45740448 is about 6763.1684882162. The cubic root of 45740448 is about 357.6296118295.

The spelling of 45740448 in words is "forty-five million, seven hundred forty thousand, four hundred forty-eight".

Divisors: 1 2 3 4 6 8 9 12 13 16 18 19 24 26 32 36 38 39 48 52 57 72 76 78 96 104 114 117 144 152 156 171 208 228 234 247 288 304 312 342 416 456 468 494 608 624 643 684 741 912 936 988 1248 1286 1368 1482 1824 1872 1929 1976 2223 2572 2736 2964 3744 3858 3952 4446 5144 5472 5787 5928 7716 7904 8359 8892 10288 11574 11856 12217 15432 16718 17784 20576 23148 23712 24434 25077 30864 33436 35568 36651 46296 48868 50154 61728 66872 71136 73302 75231 92592 97736 100308 109953 133744 146604 150462 158821 185184 195472 200616 219906 267488 293208 300924 317642 390944 401232 439812 476463 586416 601848 635284 802464 879624 952926 1172832 1203696 1270568 1429389 1759248 1905852 2407392 2541136 2858778 3518496 3811704 5082272 5717556 7623408 11435112 15246816 22870224 45740448