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145495248 = 24317376179
BaseRepresentation
bin10001010110000…
…01010011010000
3101010202220221220
420223001103100
5244221321443
622234245040
73414455253
oct1053012320
9333686856
10145495248
1175145808
1240886780
13241b2682
141547509a
15cb8ea83
hex8ac14d0

145495248 has 160 divisors (see below), whose sum is σ = 420687360. Its totient is φ = 43130880.

The previous prime is 145495241. The next prime is 145495277. The reversal of 145495248 is 842594541.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (145495241) 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, 1841673 + ... + 1841751.

It is an arithmetic number, because the mean of its divisors is an integer number (2629296).

Almost surely, 2145495248 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 145495248, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (210343680).

145495248 is an abundant number, since it is smaller than the sum of its proper divisors (275192112).

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

145495248 is a wasteful number, since it uses less digits than its factorization.

145495248 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 205 (or 199 counting only the distinct ones).

The product of its digits is 230400, while the sum is 42.

The square root of 145495248 is about 12062.1411034692. The cubic root of 145495248 is about 525.9562291595.

The spelling of 145495248 in words is "one hundred forty-five million, four hundred ninety-five thousand, two hundred forty-eight".

Divisors: 1 2 3 4 6 8 12 16 17 24 34 37 48 51 61 68 74 79 102 111 122 136 148 158 183 204 222 237 244 272 296 316 366 408 444 474 488 592 629 632 732 816 888 948 976 1037 1258 1264 1343 1464 1776 1887 1896 2074 2257 2516 2686 2923 2928 3111 3774 3792 4029 4148 4514 4819 5032 5372 5846 6222 6771 7548 8058 8296 8769 9028 9638 10064 10744 11692 12444 13542 14457 15096 16116 16592 17538 18056 19276 21488 23384 24888 27084 28914 30192 32232 35076 36112 38369 38552 46768 49691 49776 54168 57828 64464 70152 76738 77104 81923 99382 108336 115107 115656 140304 149073 153476 163846 178303 198764 230214 231312 245769 298146 306952 327692 356606 397528 460428 491538 534909 596292 613904 655384 713212 795056 920856 983076 1069818 1192584 1310768 1426424 1841712 1966152 2139636 2385168 2852848 3031151 3932304 4279272 6062302 8558544 9093453 12124604 18186906 24249208 36373812 48498416 72747624 145495248