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145298772 = 22342232011
BaseRepresentation
bin10001010100100…
…01010101010100
3101010101221110000
420222101111110
5244144030042
622230131300
73413006403
oct1052212524
9333357400
10145298772
1175021133
12407b0b30
1324144108
141542363a
15cb5174c
hex8a91554

145298772 has 60 divisors (see below), whose sum is σ = 381732736. Its totient is φ = 48191760.

The previous prime is 145298759. The next prime is 145298773. The reversal of 145298772 is 277892541.

It is a happy number.

It is a super-2 number, since 2×1452987722 = 42223466289415968, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (145298773) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 71247 + ... + 73257.

Almost surely, 2145298772 is an apocalyptic number.

145298772 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 145298772, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (190866368).

145298772 is an abundant number, since it is smaller than the sum of its proper divisors (236433964).

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

145298772 is a wasteful number, since it uses less digits than its factorization.

145298772 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2250 (or 2239 counting only the distinct ones).

The product of its digits is 282240, while the sum is 45.

The square root of 145298772 is about 12053.9940268776. The cubic root of 145298772 is about 525.7193730238.

It can be divided in two parts, 145298 and 772, that added together give a triangular number (146070 = T540).

The spelling of 145298772 in words is "one hundred forty-five million, two hundred ninety-eight thousand, seven hundred seventy-two".

Divisors: 1 2 3 4 6 9 12 18 27 36 54 81 108 162 223 324 446 669 892 1338 2007 2011 2676 4014 4022 6021 6033 8028 8044 12042 12066 18063 18099 24084 24132 36126 36198 54297 72252 72396 108594 162891 217188 325782 448453 651564 896906 1345359 1793812 2690718 4036077 5381436 8072154 12108231 16144308 24216462 36324693 48432924 72649386 145298772