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92049408 = 2123211227
BaseRepresentation
bin1010111110010…
…01000000000000
320102012121001100
411133021000000
5142031040113
613044534400
72165256423
oct537110000
9212177040
1092049408
1147a610a0
12269b1400
13160bba09
14c3219ba
158133d73
hex57c9000

92049408 has 156 divisors (see below), whose sum is σ = 291337488. Its totient is φ = 27770880.

The previous prime is 92049403. The next prime is 92049409. The reversal of 92049408 is 80494029.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (92049403) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 405391 + ... + 405617.

It is an arithmetic number, because the mean of its divisors is an integer number (1867548).

Almost surely, 292049408 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 92049408, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (145668744).

92049408 is an abundant number, since it is smaller than the sum of its proper divisors (199288080).

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

92049408 is a wasteful number, since it uses less digits than its factorization.

92049408 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 268 (or 243 counting only the distinct ones).

The product of its (nonzero) digits is 20736, while the sum is 36.

The square root of 92049408 is about 9594.2382709624. The cubic root of 92049408 is about 451.5165426256.

The spelling of 92049408 in words is "ninety-two million, forty-nine thousand, four hundred eight".

Divisors: 1 2 3 4 6 8 9 11 12 16 18 22 24 32 33 36 44 48 64 66 72 88 96 99 128 132 144 176 192 198 227 256 264 288 352 384 396 454 512 528 576 681 704 768 792 908 1024 1056 1152 1362 1408 1536 1584 1816 2043 2048 2112 2304 2497 2724 2816 3072 3168 3632 4086 4096 4224 4608 4994 5448 5632 6144 6336 7264 7491 8172 8448 9216 9988 10896 11264 12288 12672 14528 14982 16344 16896 18432 19976 21792 22473 22528 25344 29056 29964 32688 33792 36864 39952 43584 44946 45056 50688 58112 59928 65376 67584 79904 87168 89892 101376 116224 119856 130752 135168 159808 174336 179784 202752 232448 239712 261504 319616 348672 359568 405504 464896 479424 523008 639232 697344 719136 929792 958848 1046016 1278464 1394688 1438272 1917696 2092032 2556928 2789376 2876544 3835392 4184064 5113856 5753088 7670784 8368128 10227712 11506176 15341568 23012352 30683136 46024704 92049408