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48642090 = 23571973167
BaseRepresentation
bin1011100110001…
…1100000101010
310101112021101220
42321203200222
544423021330
64454322510
71130310450
oct271434052
9111467356
1048642090
1125503582
1214359436
13a101303
1466629d0
15440c710
hex2e6382a

48642090 has 128 divisors (see below), whose sum is σ = 143216640. Its totient is φ = 10326528.

The previous prime is 48642089. The next prime is 48642091. The reversal of 48642090 is 9024684.

It is an interprime number because it is at equal distance from previous prime (48642089) and next prime (48642091).

It is not an unprimeable number, because it can be changed into a prime (48642091) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 291187 + ... + 291353.

It is an arithmetic number, because the mean of its divisors is an integer number (1118880).

Almost surely, 248642090 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 48642090, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (71608320).

48642090 is an abundant number, since it is smaller than the sum of its proper divisors (94574550).

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

48642090 is a wasteful number, since it uses less digits than its factorization.

48642090 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 276.

The product of its (nonzero) digits is 13824, while the sum is 33.

The square root of 48642090 is about 6974.3881452067. The cubic root of 48642090 is about 365.0374390820.

The spelling of 48642090 in words is "forty-eight million, six hundred forty-two thousand, ninety".

Divisors: 1 2 3 5 6 7 10 14 15 19 21 30 35 38 42 57 70 73 95 105 114 133 146 167 190 210 219 266 285 334 365 399 438 501 511 570 665 730 798 835 1002 1022 1095 1169 1330 1387 1533 1670 1995 2190 2338 2505 2555 2774 3066 3173 3507 3990 4161 5010 5110 5845 6346 6935 7014 7665 8322 9519 9709 11690 12191 13870 15330 15865 17535 19038 19418 20805 22211 24382 29127 31730 35070 36573 41610 44422 47595 48545 58254 60955 66633 73146 85337 95190 97090 111055 121910 133266 145635 170674 182865 222110 231629 256011 291270 333165 365730 426685 463258 512022 666330 694887 853370 1158145 1280055 1389774 1621403 2316290 2560110 3242806 3474435 4864209 6948870 8107015 9728418 16214030 24321045 48642090