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40590480 = 2435737653
BaseRepresentation
bin1001101011010…
…1110010010000
32211101012200010
42122311302100
540342343410
64005554520
71002004410
oct232656220
984335603
1040590480
1120a04257
1211715a40
138542548
145568640
15386bc20
hex26b5c90

40590480 has 160 divisors (see below), whose sum is σ = 147919104. Its totient is φ = 9013248.

The previous prime is 40590467. The next prime is 40590491. The reversal of 40590480 is 8409504.

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

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, 61834 + ... + 62486.

Almost surely, 240590480 is an apocalyptic number.

40590480 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 40590480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (73959552).

40590480 is an abundant number, since it is smaller than the sum of its proper divisors (107328624).

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

40590480 is a wasteful number, since it uses less digits than its factorization.

40590480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 713 (or 707 counting only the distinct ones).

The product of its (nonzero) digits is 5760, while the sum is 30.

The square root of 40590480 is about 6371.0658448960. The cubic root of 40590480 is about 343.6698201976.

Adding to 40590480 its reverse (8409504), we get a palindrome (48999984).

The spelling of 40590480 in words is "forty million, five hundred ninety thousand, four hundred eighty".

Divisors: 1 2 3 4 5 6 7 8 10 12 14 15 16 20 21 24 28 30 35 37 40 42 48 56 60 70 74 80 84 105 111 112 120 140 148 168 185 210 222 240 259 280 296 336 370 420 444 518 555 560 592 653 740 777 840 888 1036 1110 1295 1306 1480 1554 1680 1776 1959 2072 2220 2590 2612 2960 3108 3265 3885 3918 4144 4440 4571 5180 5224 6216 6530 7770 7836 8880 9142 9795 10360 10448 12432 13060 13713 15540 15672 18284 19590 20720 22855 24161 26120 27426 31080 31344 36568 39180 45710 48322 52240 54852 62160 68565 72483 73136 78360 91420 96644 109704 120805 137130 144966 156720 169127 182840 193288 219408 241610 274260 289932 338254 362415 365680 386576 483220 507381 548520 579864 676508 724830 845635 966440 1014762 1097040 1159728 1353016 1449660 1691270 1932880 2029524 2536905 2706032 2899320 3382540 4059048 5073810 5798640 6765080 8118096 10147620 13530160 20295240 40590480