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40778676 = 22325973263
BaseRepresentation
bin1001101110001…
…1101110110100
32211201202211100
42123203232310
540414404201
64014010100
71003420161
oct233435664
984652740
1040778676
1121022694
12117a6930
1385aa0c3
1455b7068
1538a7886
hex26e3bb4

40778676 has 72 divisors (see below), whose sum is σ = 106666560. Its totient is φ = 13129344.

The previous prime is 40778651. The next prime is 40778681. The reversal of 40778676 is 67687704.

It is a Smith number, since the sum of its digits (45) coincides with the sum of the digits of its prime factors.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 154921 + ... + 155183.

It is an arithmetic number, because the mean of its divisors is an integer number (1481480).

Almost surely, 240778676 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 40778676, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (53333280).

40778676 is an abundant number, since it is smaller than the sum of its proper divisors (65887884).

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

40778676 is a wasteful number, since it uses less digits than its factorization.

40778676 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 405 (or 400 counting only the distinct ones).

The product of its (nonzero) digits is 395136, while the sum is 45.

The square root of 40778676 is about 6385.8183500629. The cubic root of 40778676 is about 344.2001381798.

The spelling of 40778676 in words is "forty million, seven hundred seventy-eight thousand, six hundred seventy-six".

Divisors: 1 2 3 4 6 9 12 18 36 59 73 118 146 177 219 236 263 292 354 438 526 531 657 708 789 876 1052 1062 1314 1578 2124 2367 2628 3156 4307 4734 8614 9468 12921 15517 17228 19199 25842 31034 38398 38763 46551 51684 57597 62068 76796 77526 93102 115194 139653 155052 172791 186204 230388 279306 345582 558612 691164 1132741 2265482 3398223 4530964 6796446 10194669 13592892 20389338 40778676