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9020440576 = 21672532
BaseRepresentation
bin10000110011010100…
…10000000000000000
3212021122112212012201
420121222100000000
5121433213044301
64051031202544
7436351323400
oct103152200000
925248485181
109020440576
113909892574
1218b8b16454
13b09a89104
14618016800
1537bdb8201
hex219a90000

9020440576 has 153 divisors (see below), whose sum is σ = 21389607561. Its totient is φ = 3792961536.

The previous prime is 9020440537. The next prime is 9020440577. The reversal of 9020440576 is 6750440209.

The square root of 9020440576 is 94976.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in only one way, i.e., 6502809600 + 2517630976 = 80640^2 + 50176^2 .

It is not an unprimeable number, because it can be changed into a prime (9020440577) by changing a digit.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 170196966 + ... + 170197018.

Almost surely, 29020440576 is an apocalyptic number.

9020440576 is the 94976-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 9020440576

9020440576 is an abundant number, since it is smaller than the sum of its proper divisors (12369166985).

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

9020440576 is an frugal number, since it uses more digits than its factorization.

9020440576 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 152 (or 62 counting only the distinct ones).

The product of its (nonzero) digits is 60480, while the sum is 37.

The cubic root of 9020440576 is about 2081.6573772494.

The spelling of 9020440576 in words is "nine billion, twenty million, four hundred forty thousand, five hundred seventy-six".

Divisors: 1 2 4 7 8 14 16 28 32 49 53 56 64 98 106 112 128 196 212 224 256 371 392 424 448 512 742 784 848 896 1024 1484 1568 1696 1792 2048 2597 2809 2968 3136 3392 3584 4096 5194 5618 5936 6272 6784 7168 8192 10388 11236 11872 12544 13568 14336 16384 19663 20776 22472 23744 25088 27136 28672 32768 39326 41552 44944 47488 50176 54272 57344 65536 78652 83104 89888 94976 100352 108544 114688 137641 157304 166208 179776 189952 200704 217088 229376 275282 314608 332416 359552 379904 401408 434176 458752 550564 629216 664832 719104 759808 802816 868352 1101128 1258432 1329664 1438208 1519616 1605632 1736704 2202256 2516864 2659328 2876416 3039232 3211264 3473408 4404512 5033728 5318656 5752832 6078464 8809024 10067456 10637312 11505664 12156928 17618048 20134912 21274624 23011328 24313856 35236096 40269824 42549248 46022656 70472192 80539648 85098496 92045312 140944384 161079296 170196992 184090624 281888768 322158592 563777536 644317184 1127555072 1288634368 2255110144 4510220288 9020440576