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40980576 = 2537134691
BaseRepresentation
bin1001110001010…
…1000001100000
32212010000210010
42130111001200
540442334301
64022204520
71005220620
oct234250140
985100703
1040980576
112115034a
1211883740
13864ac80
14562a880
1538e75d6
hex2715060

40980576 has 96 divisors (see below), whose sum is σ = 132427008. Its totient is φ = 10805760.

The previous prime is 40980553. The next prime is 40980581. The reversal of 40980576 is 67508904.

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

It is a Harshad number since it is a multiple of its sum of digits (39).

It is a congruent number.

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, 6391 + ... + 11081.

It is an arithmetic number, because the mean of its divisors is an integer number (1379448).

Almost surely, 240980576 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 40980576, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (66213504).

40980576 is an abundant number, since it is smaller than the sum of its proper divisors (91446432).

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

40980576 is a wasteful number, since it uses less digits than its factorization.

40980576 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4724 (or 4716 counting only the distinct ones).

The product of its (nonzero) digits is 60480, while the sum is 39.

The square root of 40980576 is about 6401.6072981713. The cubic root of 40980576 is about 344.7672616386.

The spelling of 40980576 in words is "forty million, nine hundred eighty thousand, five hundred seventy-six".

Divisors: 1 2 3 4 6 7 8 12 13 14 16 21 24 26 28 32 39 42 48 52 56 78 84 91 96 104 112 156 168 182 208 224 273 312 336 364 416 546 624 672 728 1092 1248 1456 2184 2912 4368 4691 8736 9382 14073 18764 28146 32837 37528 56292 60983 65674 75056 98511 112584 121966 131348 150112 182949 197022 225168 243932 262696 365898 394044 426881 450336 487864 525392 731796 788088 853762 975728 1050784 1280643 1463592 1576176 1707524 1951456 2561286 2927184 3152352 3415048 5122572 5854368 6830096 10245144 13660192 20490288 40980576