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40993890 = 2357279353
BaseRepresentation
bin1001110001100…
…0010001100010
32212010201001020
42130120101202
540443301030
64022350310
71005304500
oct234302142
985121036
1040993890
112115a353
121188b396
138654052
145631670
1538eb510
hex2718462

40993890 has 96 divisors (see below), whose sum is σ = 116225280. Its totient is φ = 9225216.

The previous prime is 40993879. The next prime is 40993903. The reversal of 40993890 is 9839904.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a Curzon number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 115954 + ... + 116306.

It is an arithmetic number, because the mean of its divisors is an integer number (1210680).

Almost surely, 240993890 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 40993890, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (58112640).

40993890 is an abundant number, since it is smaller than the sum of its proper divisors (75231390).

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

40993890 is a wasteful number, since it uses less digits than its factorization.

40993890 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 456 (or 449 counting only the distinct ones).

The product of its (nonzero) digits is 69984, while the sum is 42.

The square root of 40993890 is about 6402.6471088137. The cubic root of 40993890 is about 344.8045942383.

The spelling of 40993890 in words is "forty million, nine hundred ninety-three thousand, eight hundred ninety".

Divisors: 1 2 3 5 6 7 10 14 15 21 30 35 42 49 70 79 98 105 147 158 210 237 245 294 353 395 474 490 553 706 735 790 1059 1106 1185 1470 1659 1765 2118 2370 2471 2765 3318 3530 3871 4942 5295 5530 7413 7742 8295 10590 11613 12355 14826 16590 17297 19355 23226 24710 27887 34594 37065 38710 51891 55774 58065 74130 83661 86485 103782 116130 139435 167322 172970 195209 259455 278870 390418 418305 518910 585627 836610 976045 1171254 1366463 1952090 2732926 2928135 4099389 5856270 6832315 8198778 13664630 20496945 40993890