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45890106 = 23172331631
BaseRepresentation
bin1010111100001…
…1101000111010
310012100110101120
42233003220322
543221440411
64315330110
71065026253
oct257035072
9105313346
1045890106
11239a3a09
1213450936
139679812
146147b2a
154067106
hex2bc3a3a

45890106 has 64 divisors (see below), whose sum is σ = 104841216. Its totient is φ = 13305600.

The previous prime is 45890059. The next prime is 45890107. The reversal of 45890106 is 60109854.

It is not an unprimeable number, because it can be changed into a prime (45890107) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 72411 + ... + 73041.

It is an arithmetic number, because the mean of its divisors is an integer number (1638144).

Almost surely, 245890106 is an apocalyptic number.

45890106 is a gapful number since it is divisible by the number (46) formed by its first and last digit.

45890106 is an abundant number, since it is smaller than the sum of its proper divisors (58951110).

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

45890106 is a wasteful number, since it uses less digits than its factorization.

45890106 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 707.

The product of its (nonzero) digits is 8640, while the sum is 33.

The square root of 45890106 is about 6774.2236455553. The cubic root of 45890106 is about 358.0192295363.

The spelling of 45890106 in words is "forty-five million, eight hundred ninety thousand, one hundred six".

Divisors: 1 2 3 6 17 23 31 34 46 51 62 69 93 102 138 186 391 527 631 713 782 1054 1173 1262 1426 1581 1893 2139 2346 3162 3786 4278 10727 12121 14513 19561 21454 24242 29026 32181 36363 39122 43539 58683 64362 72726 87078 117366 246721 332537 449903 493442 665074 740163 899806 997611 1349709 1480326 1995222 2699418 7648351 15296702 22945053 45890106