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73669050 = 232527213257
BaseRepresentation
bin1000110010000…
…01100110111010
312010121202221100
410121001212322
5122324402200
611150552230
71553114400
oct431014672
9163552840
1073669050
1138647714
1220808676
1312354870
149ad9470
156702d00
hex46419ba

73669050 has 216 divisors, whose sum is σ = 248913756. Its totient is φ = 15482880.

The previous prime is 73669049. The next prime is 73669073. The reversal of 73669050 is 5096637.

It is a happy number.

It can be written as a sum of positive squares in 6 ways, for example, as 36324729 + 37344321 = 6027^2 + 6111^2 .

It is a junction number, because it is equal to n+sod(n) for n = 73668996 and 73669014.

It is an unprimeable number.

It is a polite number, since it can be written in 107 ways as a sum of consecutive naturals, for example, 286522 + ... + 286778.

Almost surely, 273669050 is an apocalyptic number.

73669050 is a gapful number since it is divisible by the number (70) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 73669050, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (124456878).

73669050 is an abundant number, since it is smaller than the sum of its proper divisors (175244706).

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

73669050 is a wasteful number, since it uses less digits than its factorization.

73669050 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 302 (or 287 counting only the distinct ones).

The product of its (nonzero) digits is 34020, while the sum is 36.

The square root of 73669050 is about 8583.0676334280. The cubic root of 73669050 is about 419.2068363989.

The spelling of 73669050 in words is "seventy-three million, six hundred sixty-nine thousand, fifty".