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45863720 = 23571937233
BaseRepresentation
bin1010111011110…
…1001100101000
310012022010012022
42232331030220
543220114340
64315004012
71064556320
oct256751450
9105263168
1045863720
1123986101
1213439608
13966a7c6
14613c280
15405e3b5
hex2bbd328

45863720 has 128 divisors (see below), whose sum is σ = 128044800. Its totient is φ = 14432256.

The previous prime is 45863717. The next prime is 45863749. The reversal of 45863720 is 2736854.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (35).

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 196724 + ... + 196956.

It is an arithmetic number, because the mean of its divisors is an integer number (1000350).

Almost surely, 245863720 is an apocalyptic number.

45863720 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 45863720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (64022400).

45863720 is an abundant number, since it is smaller than the sum of its proper divisors (82181080).

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

45863720 is a wasteful number, since it uses less digits than its factorization.

45863720 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 307 (or 303 counting only the distinct ones).

The product of its (nonzero) digits is 40320, while the sum is 35.

The square root of 45863720 is about 6772.2758360835. The cubic root of 45863720 is about 357.9505981372.

The spelling of 45863720 in words is "forty-five million, eight hundred sixty-three thousand, seven hundred twenty".

Divisors: 1 2 4 5 7 8 10 14 19 20 28 35 37 38 40 56 70 74 76 95 133 140 148 152 185 190 233 259 266 280 296 370 380 466 518 532 665 703 740 760 932 1036 1064 1165 1295 1330 1406 1480 1631 1864 2072 2330 2590 2660 2812 3262 3515 4427 4660 4921 5180 5320 5624 6524 7030 8155 8621 8854 9320 9842 10360 13048 14060 16310 17242 17708 19684 22135 24605 28120 30989 32620 34484 35416 39368 43105 44270 49210 60347 61978 65240 68968 86210 88540 98420 120694 123956 154945 163799 172420 177080 196840 241388 247912 301735 309890 327598 344840 482776 603470 619780 655196 818995 1146593 1206940 1239560 1310392 1637990 2293186 2413880 3275980 4586372 5732965 6551960 9172744 11465930 22931860 45863720