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40922000 = 245373779
BaseRepresentation
bin1001110000011…
…0101110010000
32212000001102122
42130012232100
540434001000
64021033412
71004555060
oct234065620
985001378
1040922000
1121110339
1211855868
13862a402
1456133a0
1538d5085
hex2706b90

40922000 has 160 divisors (see below), whose sum is σ = 117611520. Its totient is φ = 13478400.

The previous prime is 40921999. The next prime is 40922027. The reversal of 40922000 is 22904.

40922000 = 3112 + 3122 + ... + 5342.

It is a super-2 number, since 2×409220002 = 3349220168000000, which contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 40922000.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 517961 + ... + 518039.

It is an arithmetic number, because the mean of its divisors is an integer number (735072).

Almost surely, 240922000 is an apocalyptic number.

40922000 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 40922000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (58805760).

40922000 is an abundant number, since it is smaller than the sum of its proper divisors (76689520).

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

40922000 is a wasteful number, since it uses less digits than its factorization.

40922000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 146 (or 130 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 17.

The square root of 40922000 is about 6397.0305611276. The cubic root of 40922000 is about 344.6029177896.

Adding to 40922000 its reverse (22904), we get a palindrome (40944904).

The spelling of 40922000 in words is "forty million, nine hundred twenty-two thousand".

Divisors: 1 2 4 5 7 8 10 14 16 20 25 28 35 37 40 50 56 70 74 79 80 100 112 125 140 148 158 175 185 200 250 259 280 296 316 350 370 395 400 500 518 553 560 592 632 700 740 790 875 925 1000 1036 1106 1264 1295 1400 1480 1580 1750 1850 1975 2000 2072 2212 2590 2765 2800 2923 2960 3160 3500 3700 3950 4144 4424 4625 5180 5530 5846 6320 6475 7000 7400 7900 8848 9250 9875 10360 11060 11692 12950 13825 14000 14615 14800 15800 18500 19750 20461 20720 22120 23384 25900 27650 29230 31600 32375 37000 39500 40922 44240 46768 51800 55300 58460 64750 69125 73075 74000 79000 81844 102305 103600 110600 116920 129500 138250 146150 158000 163688 204610 221200 233840 259000 276500 292300 327376 365375 409220 511525 518000 553000 584600 730750 818440 1023050 1106000 1169200 1461500 1636880 2046100 2557625 2923000 4092200 5115250 5846000 8184400 10230500 20461000 40922000