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145601408 = 2719223137
BaseRepresentation
bin10001010110110…
…11001110000000
3101010222022120202
420223123032000
5244233221113
622240424332
73415406621
oct1053331600
9333868522
10145601408
1175208547
12409180a8
132421baa4
14154a1a48
15cbb1258
hex8adb380

145601408 has 96 divisors (see below), whose sum is σ = 321777360. Its totient is φ = 65488896.

The previous prime is 145601387. The next prime is 145601411. The reversal of 145601408 is 804106541.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1062716 + ... + 1062852.

Almost surely, 2145601408 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 145601408, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (160888680).

145601408 is an abundant number, since it is smaller than the sum of its proper divisors (176175952).

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

145601408 is a wasteful number, since it uses less digits than its factorization.

145601408 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 212 (or 181 counting only the distinct ones).

The product of its (nonzero) digits is 3840, while the sum is 29.

The square root of 145601408 is about 12066.5408464895. The cubic root of 145601408 is about 526.0841186485.

Adding to 145601408 its reverse (804106541), we get a palindrome (949707949).

The spelling of 145601408 in words is "one hundred forty-five million, six hundred one thousand, four hundred eight".

Divisors: 1 2 4 8 16 19 23 32 38 46 64 76 92 128 137 152 184 274 304 361 368 437 548 608 722 736 874 1096 1216 1444 1472 1748 2192 2432 2603 2888 2944 3151 3496 4384 5206 5776 6302 6992 8303 8768 10412 11552 12604 13984 16606 17536 20824 23104 25208 27968 33212 41648 46208 49457 50416 55936 59869 66424 83296 98914 100832 119738 132848 166592 197828 201664 239476 265696 333184 395656 403328 478952 531392 791312 957904 1062784 1137511 1582624 1915808 2275022 3165248 3831616 4550044 6330496 7663232 9100088 18200176 36400352 72800704 145601408