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145951638 = 23747107691
BaseRepresentation
bin10001011001100…
…00101110010110
3101011122010000020
420230300232112
5244330423023
622252130010
73421365660
oct1054605626
9334563006
10145951638
1175427698
1240a66906
1324312321
1415553530
15cc2ede3
hex8b30b96

145951638 has 64 divisors (see below), whose sum is σ = 344383488. Its totient is φ = 40373280.

The previous prime is 145951607. The next prime is 145951651. The reversal of 145951638 is 836159541.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a self number, because there is not a number n which added to its sum of digits gives 145951638.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 210873 + ... + 211563.

It is an arithmetic number, because the mean of its divisors is an integer number (5380992).

Almost surely, 2145951638 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 145951638, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (172191744).

145951638 is an abundant number, since it is smaller than the sum of its proper divisors (198431850).

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

145951638 is a wasteful number, since it uses less digits than its factorization.

145951638 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 857.

The product of its digits is 129600, while the sum is 42.

The square root of 145951638 is about 12081.0445740424. The cubic root of 145951638 is about 526.5055955841.

The spelling of 145951638 in words is "one hundred forty-five million, nine hundred fifty-one thousand, six hundred thirty-eight".

Divisors: 1 2 3 6 7 14 21 42 47 94 107 141 214 282 321 329 642 658 691 749 987 1382 1498 1974 2073 2247 4146 4494 4837 5029 9674 10058 14511 15087 29022 30174 32477 35203 64954 70406 73937 97431 105609 147874 194862 211218 221811 227339 443622 454678 517559 682017 1035118 1364034 1552677 3105354 3475039 6950078 10425117 20850234 24325273 48650546 72975819 145951638