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145038492 = 223317197401
BaseRepresentation
bin10001010010100…
…01110010011100
3101002220201102000
420221101302130
5244112212432
622220402300
73410543514
oct1051216234
9332821360
10145038492
1174963625
12406a6390
13240827c1
1415396844
15caee57c
hex8a51c9c

145038492 has 96 divisors (see below), whose sum is σ = 401163840. Its totient is φ = 45158400.

The previous prime is 145038473. The next prime is 145038497. The reversal of 145038492 is 294830541.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (145038497) 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, 361492 + ... + 361892.

It is an arithmetic number, because the mean of its divisors is an integer number (4178790).

Almost surely, 2145038492 is an apocalyptic number.

145038492 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 145038492, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (200581920).

145038492 is an abundant number, since it is smaller than the sum of its proper divisors (256125348).

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

145038492 is a wasteful number, since it uses less digits than its factorization.

145038492 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 628 (or 620 counting only the distinct ones).

The product of its (nonzero) digits is 34560, while the sum is 36.

The square root of 145038492 is about 12043.1927660401. The cubic root of 145038492 is about 525.4052707465.

It can be divided in two parts, 145038 and 492, that added together give a triangular number (145530 = T539).

The spelling of 145038492 in words is "one hundred forty-five million, thirty-eight thousand, four hundred ninety-two".

Divisors: 1 2 3 4 6 9 12 17 18 27 34 36 51 54 68 102 108 153 197 204 306 394 401 459 591 612 788 802 918 1182 1203 1604 1773 1836 2364 2406 3349 3546 3609 4812 5319 6698 6817 7092 7218 10047 10638 10827 13396 13634 14436 20094 20451 21276 21654 27268 30141 40188 40902 43308 60282 61353 78997 81804 90423 120564 122706 157994 180846 184059 236991 245412 315988 361692 368118 473982 710973 736236 947964 1342949 1421946 2132919 2685898 2843892 4028847 4265838 5371796 8057694 8531676 12086541 16115388 24173082 36259623 48346164 72519246 145038492