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67385472 = 2737114353
BaseRepresentation
bin1000000010000…
…11100010000000
311200210112111020
410001003202000
5114222313342
610404145440
71445524050
oct401034200
9150715436
1067385472
1135045780
121a698280
1310c6477b
148d41560
155db10ec
hex4043880

67385472 has 256 divisors, whose sum is σ = 232657920. Its totient is φ = 16773120.

The previous prime is 67385453. The next prime is 67385489. The reversal of 67385472 is 27458376.

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

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1271398 + ... + 1271450.

It is an arithmetic number, because the mean of its divisors is an integer number (908820).

Almost surely, 267385472 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 67385472, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (116328960).

67385472 is an abundant number, since it is smaller than the sum of its proper divisors (165272448).

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

67385472 is a wasteful number, since it uses less digits than its factorization.

67385472 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 131 (or 119 counting only the distinct ones).

The product of its digits is 282240, while the sum is 42.

The square root of 67385472 is about 8208.8654514494. The cubic root of 67385472 is about 406.9322330008.

The spelling of 67385472 in words is "sixty-seven million, three hundred eighty-five thousand, four hundred seventy-two".