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73669248 = 273263949
BaseRepresentation
bin1000110010000…
…01101010000000
312010121210012200
410121001222000
5122324403443
611150553200
71553115102
oct431015200
9163553180
1073669248
1138647884
1220808800
1312354993
149ad9572
156702dd3
hex4641a80

73669248 has 48 divisors (see below), whose sum is σ = 211994250. Its totient is φ = 24556032.

The previous prime is 73669217. The next prime is 73669249. The reversal of 73669248 is 84296637.

It can be written as a sum of positive squares in only one way, i.e., 56430144 + 17239104 = 7512^2 + 4152^2 .

It is a tau number, because it is divible by the number of its divisors (48).

It is not an unprimeable number, because it can be changed into a prime (73669249) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 30823 + ... + 33126.

Almost surely, 273669248 is an apocalyptic number.

It is an amenable number.

73669248 is an abundant number, since it is smaller than the sum of its proper divisors (138325002).

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

73669248 is a wasteful number, since it uses less digits than its factorization.

73669248 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 63969 (or 63954 counting only the distinct ones).

The product of its digits is 435456, while the sum is 45.

The square root of 73669248 is about 8583.0791677579. The cubic root of 73669248 is about 419.2072119654.

The spelling of 73669248 in words is "seventy-three million, six hundred sixty-nine thousand, two hundred forty-eight".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 64 72 96 128 144 192 288 384 576 1152 63949 127898 191847 255796 383694 511592 575541 767388 1023184 1151082 1534776 2046368 2302164 3069552 4092736 4604328 6139104 8185472 9208656 12278208 18417312 24556416 36834624 73669248