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40396896 = 25321737223
BaseRepresentation
bin1001101000011…
…0100001100000
32211000101010100
42122012201200
540320200041
64001502400
71000240131
oct232064140
984011110
1040396896
1120891871
1211641a00
1384a53b7
145517c88
15382e6b6
hex2686860

40396896 has 144 divisors (see below), whose sum is σ = 125483904. Its totient is φ = 12275712.

The previous prime is 40396891. The next prime is 40396897. The reversal of 40396896 is 69869304.

It is a tau number, because it is divible by the number of its divisors (144).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (40396891) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 181041 + ... + 181263.

It is an arithmetic number, because the mean of its divisors is an integer number (871416).

Almost surely, 240396896 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 40396896, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (62741952).

40396896 is an abundant number, since it is smaller than the sum of its proper divisors (85087008).

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

40396896 is a wasteful number, since it uses less digits than its factorization.

40396896 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 293 (or 282 counting only the distinct ones).

The product of its (nonzero) digits is 279936, while the sum is 45.

The square root of 40396896 is about 6355.8552532291. The cubic root of 40396896 is about 343.1226063117.

The spelling of 40396896 in words is "forty million, three hundred ninety-six thousand, eight hundred ninety-six".

Divisors: 1 2 3 4 6 8 9 12 16 17 18 24 32 34 36 37 48 51 68 72 74 96 102 111 136 144 148 153 204 222 223 272 288 296 306 333 408 444 446 544 592 612 629 666 669 816 888 892 1184 1224 1258 1332 1338 1632 1776 1784 1887 2007 2448 2516 2664 2676 3552 3568 3774 3791 4014 4896 5032 5328 5352 5661 7136 7548 7582 8028 8251 10064 10656 10704 11322 11373 15096 15164 16056 16502 20128 21408 22644 22746 24753 30192 30328 32112 33004 34119 45288 45492 49506 60384 60656 64224 66008 68238 74259 90576 90984 99012 121312 132016 136476 140267 148518 181152 181968 198024 264032 272952 280534 297036 363936 396048 420801 545904 561068 594072 792096 841602 1091808 1122136 1188144 1262403 1683204 2244272 2376288 2524806 3366408 4488544 5049612 6732816 10099224 13465632 20198448 40396896