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145231408 = 2471783919
BaseRepresentation
bin10001010100000…
…00111000110000
3101010021112001001
420222000320300
5244134401113
622224451344
73412306120
oct1052007060
9333245031
10145231408
1174a85563
1240779b54
132411c55a
1415406c80
15cb3b7dd
hex8a80e30

145231408 has 80 divisors (see below), whose sum is σ = 344977920. Its totient is φ = 57811968.

The previous prime is 145231397. The next prime is 145231409. The reversal of 145231408 is 804132541.

It is a Harshad number since it is a multiple of its sum of digits (28).

It is not an unprimeable number, because it can be changed into a prime (145231409) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 157573 + ... + 158491.

It is an arithmetic number, because the mean of its divisors is an integer number (4312224).

Almost surely, 2145231408 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 145231408, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (172488960).

145231408 is an abundant number, since it is smaller than the sum of its proper divisors (199746512).

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

145231408 is a wasteful number, since it uses less digits than its factorization.

145231408 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1034 (or 1028 counting only the distinct ones).

The product of its (nonzero) digits is 3840, while the sum is 28.

The square root of 145231408 is about 12051.1994423792. The cubic root of 145231408 is about 525.6381150894.

Adding to 145231408 its reverse (804132541), we get a palindrome (949363949).

It can be divided in two parts, 14523 and 1408, that added together give a triangular number (15931 = T178).

The spelling of 145231408 in words is "one hundred forty-five million, two hundred thirty-one thousand, four hundred eight".

Divisors: 1 2 4 7 8 14 16 17 28 34 56 68 83 112 119 136 166 238 272 332 476 581 664 919 952 1162 1328 1411 1838 1904 2324 2822 3676 4648 5644 6433 7352 9296 9877 11288 12866 14704 15623 19754 22576 25732 31246 39508 51464 62492 76277 79016 102928 109361 124984 152554 158032 218722 249968 305108 437444 533939 610216 874888 1067878 1220432 1296709 1749776 2135756 2593418 4271512 5186836 8543024 9076963 10373672 18153926 20747344 36307852 72615704 145231408