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89573376 = 211361239
BaseRepresentation
bin1010101011011…
…00100000000000
320020112210120110
411111230200000
5140412322001
612515511320
72135234604
oct525544000
9206483513
1089573376
114661a892
1225bb8540
13157329c9
14bc79504
157ce53d6
hex556c800

89573376 has 96 divisors (see below), whose sum is σ = 243734400. Its totient is φ = 29245440.

The previous prime is 89573327. The next prime is 89573383. The reversal of 89573376 is 67337598.

It is a tau number, because it is divible by the number of its divisors (96).

It is a Harshad number since it is a multiple of its sum of digits (48).

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 374665 + ... + 374903.

It is an arithmetic number, because the mean of its divisors is an integer number (2538900).

Almost surely, 289573376 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 89573376, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (121867200).

89573376 is an abundant number, since it is smaller than the sum of its proper divisors (154161024).

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

89573376 is a wasteful number, since it uses less digits than its factorization.

89573376 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 325 (or 305 counting only the distinct ones).

The product of its digits is 952560, while the sum is 48.

The square root of 89573376 is about 9464.3212117933. The cubic root of 89573376 is about 447.4312510514.

The spelling of 89573376 in words is "eighty-nine million, five hundred seventy-three thousand, three hundred seventy-six".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 61 64 96 122 128 183 192 239 244 256 366 384 478 488 512 717 732 768 956 976 1024 1434 1464 1536 1912 1952 2048 2868 2928 3072 3824 3904 5736 5856 6144 7648 7808 11472 11712 14579 15296 15616 22944 23424 29158 30592 31232 43737 45888 46848 58316 61184 62464 87474 91776 93696 116632 122368 124928 174948 183552 187392 233264 244736 349896 367104 374784 466528 489472 699792 734208 933056 1399584 1468416 1866112 2799168 3732224 5598336 7464448 11196672 14928896 22393344 29857792 44786688 89573376