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45745440 = 2535137331
BaseRepresentation
bin1010111010000…
…0010100100000
310012002002221120
42232200110200
543202323230
64312252240
71063554426
oct256402440
9105062846
1045745440
1123905254
12133a1080
139628a10
14610b116
154039310
hex2ba0520

45745440 has 96 divisors (see below), whose sum is σ = 155203776. Its totient is φ = 11258880.

The previous prime is 45745417. The next prime is 45745457. The reversal of 45745440 is 4454754.

It is a tau number, because it is divible by the number of its divisors (96).

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, 2575 + ... + 9905.

It is an arithmetic number, because the mean of its divisors is an integer number (1616706).

Almost surely, 245745440 is an apocalyptic number.

45745440 is a gapful number since it is divisible by the number (40) 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 45745440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (77601888).

45745440 is an abundant number, since it is smaller than the sum of its proper divisors (109458336).

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

45745440 is a wasteful number, since it uses less digits than its factorization.

45745440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7362 (or 7354 counting only the distinct ones).

The product of its (nonzero) digits is 44800, while the sum is 33.

The square root of 45745440 is about 6763.5375359349. The cubic root of 45745440 is about 357.6426216283.

The spelling of 45745440 in words is "forty-five million, seven hundred forty-five thousand, four hundred forty".

Divisors: 1 2 3 4 5 6 8 10 12 13 15 16 20 24 26 30 32 39 40 48 52 60 65 78 80 96 104 120 130 156 160 195 208 240 260 312 390 416 480 520 624 780 1040 1248 1560 2080 3120 6240 7331 14662 21993 29324 36655 43986 58648 73310 87972 95303 109965 117296 146620 175944 190606 219930 234592 285909 293240 351888 381212 439860 476515 571818 586480 703776 762424 879720 953030 1143636 1172960 1429545 1524848 1759440 1906060 2287272 2859090 3049696 3518880 3812120 4574544 5718180 7624240 9149088 11436360 15248480 22872720 45745440