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41620992 = 2937379
BaseRepresentation
bin1001111011000…
…1011000000000
32220022120021020
42132301120000
541123332432
64044025440
71013526000
oct236613000
986276236
1041620992
1121548516
1211b32280
13881360a
145756000
1539c222c
hex27b1600

41620992 has 160 divisors (see below), whose sum is σ = 130944000. Its totient is φ = 11741184.

The previous prime is 41620987. The next prime is 41621057. The reversal of 41620992 is 29902614.

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, 526809 + ... + 526887.

It is an arithmetic number, because the mean of its divisors is an integer number (818400).

Almost surely, 241620992 is an apocalyptic number.

41620992 is a gapful number since it is divisible by the number (42) 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 41620992, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (65472000).

41620992 is an abundant number, since it is smaller than the sum of its proper divisors (89323008).

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

41620992 is an frugal number, since it uses more digits than its factorization.

41620992 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 121 (or 91 counting only the distinct ones).

The product of its (nonzero) digits is 7776, while the sum is 33.

The square root of 41620992 is about 6451.4333291138. The cubic root of 41620992 is about 346.5539146796.

The spelling of 41620992 in words is "forty-one million, six hundred twenty thousand, nine hundred ninety-two".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 32 42 48 49 56 64 79 84 96 98 112 128 147 158 168 192 196 224 237 256 294 316 336 343 384 392 448 474 512 553 588 632 672 686 768 784 896 948 1029 1106 1176 1264 1344 1372 1536 1568 1659 1792 1896 2058 2212 2352 2528 2688 2744 3136 3318 3584 3792 3871 4116 4424 4704 5056 5376 5488 6272 6636 7584 7742 8232 8848 9408 10112 10752 10976 11613 12544 13272 15168 15484 16464 17696 18816 20224 21952 23226 25088 26544 27097 30336 30968 32928 35392 37632 40448 43904 46452 53088 54194 60672 61936 65856 70784 75264 81291 87808 92904 106176 108388 121344 123872 131712 141568 162582 175616 185808 212352 216776 247744 263424 283136 325164 371616 424704 433552 495488 526848 650328 743232 849408 867104 990976 1300656 1486464 1734208 1981952 2601312 2972928 3468416 5202624 5945856 6936832 10405248 13873664 20810496 41620992