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9000765048 = 233113281767
BaseRepresentation
bin10000110000111110…
…01100011001111000
3212020021112020110110
420120133030121320
5121413143440143
64045045344320
7436022145342
oct103037143170
925207466413
109000765048
1138a9774000
1218b24080a0
13b0598a5a2
14615574292
1537a2cd533
hex2187cc678

9000765048 has 64 divisors (see below), whose sum is σ = 24750501120. Its totient is φ = 2727494880.

The previous prime is 9000765043. The next prime is 9000765049. The reversal of 9000765048 is 8405670009.

It is a junction number, because it is equal to n+sod(n) for n = 9000764997 and 9000765015.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (9000765041) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 108940 + ... + 172827.

It is an arithmetic number, because the mean of its divisors is an integer number (386726580).

Almost surely, 29000765048 is an apocalyptic number.

It is an amenable number.

9000765048 is an abundant number, since it is smaller than the sum of its proper divisors (15749736072).

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

9000765048 is a wasteful number, since it uses less digits than its factorization.

9000765048 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 281809 (or 281783 counting only the distinct ones).

The product of its (nonzero) digits is 60480, while the sum is 39.

The square root of 9000765048 is about 94872.3618763652. The cubic root of 9000765048 is about 2080.1427607882.

The spelling of 9000765048 in words is "nine billion, seven hundred sixty-five thousand, forty-eight".

Divisors: 1 2 3 4 6 8 11 12 22 24 33 44 66 88 121 132 242 264 363 484 726 968 1331 1452 2662 2904 3993 5324 7986 10648 15972 31944 281767 563534 845301 1127068 1690602 2254136 3099437 3381204 6198874 6762408 9298311 12397748 18596622 24795496 34093807 37193244 68187614 74386488 102281421 136375228 204562842 272750456 375031877 409125684 750063754 818251368 1125095631 1500127508 2250191262 3000255016 4500382524 9000765048