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153468672 = 283728547
BaseRepresentation
bin10010010010110…
…11111100000000
3101200210000102220
421021123330000
5303241444142
623121211040
73542314350
oct1111337400
9350700386
10153468672
11796a1315
1243490a80
1325a44986
141654cb60
15d7172ec
hex925bf00

153468672 has 72 divisors (see below), whose sum is σ = 466816896. Its totient is φ = 43846656.

The previous prime is 153468671. The next prime is 153468683. The reversal of 153468672 is 276864351.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (153468671) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 8898 + ... + 19649.

It is an arithmetic number, because the mean of its divisors is an integer number (6483568).

Almost surely, 2153468672 is an apocalyptic number.

153468672 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

153468672 is an abundant number, since it is smaller than the sum of its proper divisors (313348224).

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

153468672 is an equidigital number, since it uses as much as digits as its factorization.

153468672 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 28573 (or 28559 counting only the distinct ones).

The product of its digits is 241920, while the sum is 42.

The square root of 153468672 is about 12388.2473336627. The cubic root of 153468672 is about 535.3936858327.

The spelling of 153468672 in words is "one hundred fifty-three million, four hundred sixty-eight thousand, six hundred seventy-two".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 32 42 48 56 64 84 96 112 128 168 192 224 256 336 384 448 672 768 896 1344 1792 2688 5376 28547 57094 85641 114188 171282 199829 228376 342564 399658 456752 599487 685128 799316 913504 1198974 1370256 1598632 1827008 2397948 2740512 3197264 3654016 4795896 5481024 6394528 7308032 9591792 10962048 12789056 19183584 21924096 25578112 38367168 51156224 76734336 153468672