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145729948 = 227131093673
BaseRepresentation
bin10001010111110…
…10100110011100
3101011012211220111
420223322212130
5244301324243
622243255404
73416453440
oct1053724634
9334184814
10145729948
1175296081
124097a564
1324265450
14154d6820
15cbd939d
hex8afa99c

145729948 has 48 divisors (see below), whose sum is σ = 316845760. Its totient is φ = 57106944.

The previous prime is 145729931. The next prime is 145729951. The reversal of 145729948 is 849927541.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 37840 + ... + 41512.

Almost surely, 2145729948 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 145729948, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (158422880).

145729948 is an abundant number, since it is smaller than the sum of its proper divisors (171115812).

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

145729948 is a wasteful number, since it uses less digits than its factorization.

145729948 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3806 (or 3804 counting only the distinct ones).

The product of its digits is 725760, while the sum is 49.

The square root of 145729948 is about 12071.8659700976. The cubic root of 145729948 is about 526.2388858394.

The spelling of 145729948 in words is "one hundred forty-five million, seven hundred twenty-nine thousand, nine hundred forty-eight".

Divisors: 1 2 4 7 13 14 26 28 52 91 109 182 218 364 436 763 1417 1526 2834 3052 3673 5668 7346 9919 14692 19838 25711 39676 47749 51422 95498 102844 190996 334243 400357 668486 800714 1336972 1601428 2802499 5204641 5604998 10409282 11209996 20818564 36432487 72864974 145729948