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553798128 = 243132233293
BaseRepresentation
bin100001000000100…
…100100111110000
31102121001212012210
4201000210213300
52113233020003
6130541452120
716503130542
oct4100444760
91377055183
10553798128
11264671804
12135571040
138a970200
145379b692
1533943503
hex210249f0

553798128 has 120 divisors (see below), whose sum is σ = 1561118832. Its totient is φ = 169089024.

The previous prime is 553798127. The next prime is 553798169. The reversal of 553798128 is 821897355.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (553798127) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1889950 + ... + 1890242.

Almost surely, 2553798128 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 553798128, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (780559416).

553798128 is an abundant number, since it is smaller than the sum of its proper divisors (1007320704).

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

553798128 is a wasteful number, since it uses less digits than its factorization.

553798128 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 563 (or 544 counting only the distinct ones).

The product of its digits is 604800, while the sum is 48.

The square root of 553798128 is about 23532.9158414337. The cubic root of 553798128 is about 821.2029379795.

The spelling of 553798128 in words is "five hundred fifty-three million, seven hundred ninety-eight thousand, one hundred twenty-eight".

Divisors: 1 2 3 4 6 8 12 13 16 24 26 39 48 52 78 104 156 169 208 233 293 312 338 466 507 586 624 676 699 879 932 1014 1172 1352 1398 1758 1864 2028 2344 2704 2796 3029 3516 3728 3809 4056 4688 5592 6058 7032 7618 8112 9087 11184 11427 12116 14064 15236 18174 22854 24232 30472 36348 39377 45708 48464 49517 60944 68269 72696 78754 91416 99034 118131 136538 145392 148551 157508 182832 198068 204807 236262 273076 297102 315016 396136 409614 472524 546152 594204 630032 792272 819228 887497 945048 1092304 1188408 1638456 1774994 1890096 2376816 2662491 3276912 3549988 5324982 7099976 10649964 11537461 14199952 21299928 23074922 34612383 42599856 46149844 69224766 92299688 138449532 184599376 276899064 553798128