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45485400 = 2335241432
BaseRepresentation
bin1010110110000…
…0110101011000
310011120220020110
42231200311120
543121013100
64302524320
71061422332
oct255406530
9104526213
1045485400
1123747944
12132966a0
13956754c
146080452
153ed7250
hex2b60d58

45485400 has 144 divisors (see below), whose sum is σ = 147881160. Its totient is φ = 11558400.

The previous prime is 45485399. The next prime is 45485413. The reversal of 45485400 is 458454.

It is a super-2 number, since 2×454854002 = 4137843226320000, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 1057779 + ... + 1057821.

Almost surely, 245485400 is an apocalyptic number.

45485400 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 45485400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (73940580).

45485400 is an abundant number, since it is smaller than the sum of its proper divisors (102395760).

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

45485400 is a wasteful number, since it uses less digits than its factorization.

45485400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 146 (or 94 counting only the distinct ones).

The product of its (nonzero) digits is 12800, while the sum is 30.

The square root of 45485400 is about 6744.2864707840. The cubic root of 45485400 is about 356.9636601979.

The spelling of 45485400 in words is "forty-five million, four hundred eighty-five thousand, four hundred".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 25 30 40 41 43 50 60 75 82 86 100 120 123 129 150 164 172 200 205 215 246 258 300 328 344 410 430 492 516 600 615 645 820 860 984 1025 1032 1075 1230 1290 1640 1720 1763 1849 2050 2150 2460 2580 3075 3225 3526 3698 4100 4300 4920 5160 5289 5547 6150 6450 7052 7396 8200 8600 8815 9245 10578 11094 12300 12900 14104 14792 17630 18490 21156 22188 24600 25800 26445 27735 35260 36980 42312 44075 44376 46225 52890 55470 70520 73960 75809 88150 92450 105780 110940 132225 138675 151618 176300 184900 211560 221880 227427 264450 277350 303236 352600 369800 379045 454854 528900 554700 606472 758090 909708 1057800 1109400 1137135 1516180 1819416 1895225 2274270 3032360 3790450 4548540 5685675 7580900 9097080 11371350 15161800 22742700 45485400