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54909480 = 23353783149
BaseRepresentation
bin1101000101110…
…1101000101000
310211022200122110
43101131220220
5103024100410
65240522320
71234502643
oct321355050
9124280573
1054909480
1128aa433a
12164803a0
13b4b6c22
147414a5a
154c49720
hex345da28

54909480 has 128 divisors (see below), whose sum is σ = 172368000. Its totient is φ = 13980672.

The previous prime is 54909457. The next prime is 54909509. The reversal of 54909480 is 8490945.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 368446 + ... + 368594.

It is an arithmetic number, because the mean of its divisors is an integer number (1346625).

Almost surely, 254909480 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 54909480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (86184000).

54909480 is an abundant number, since it is smaller than the sum of its proper divisors (117458520).

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

54909480 is a wasteful number, since it uses less digits than its factorization.

54909480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 283 (or 279 counting only the distinct ones).

The product of its (nonzero) digits is 51840, while the sum is 39.

The square root of 54909480 is about 7410.0931168238. The cubic root of 54909480 is about 380.0864992376.

The spelling of 54909480 in words is "fifty-four million, nine hundred nine thousand, four hundred eighty".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 30 37 40 60 74 83 111 120 148 149 166 185 222 249 296 298 332 370 415 444 447 498 555 596 664 740 745 830 888 894 996 1110 1192 1245 1480 1490 1660 1788 1992 2220 2235 2490 2980 3071 3320 3576 4440 4470 4980 5513 5960 6142 8940 9213 9960 11026 12284 12367 15355 16539 17880 18426 22052 24568 24734 27565 30710 33078 36852 37101 44104 46065 49468 55130 61420 61835 66156 73704 74202 82695 92130 98936 110260 122840 123670 132312 148404 165390 184260 185505 220520 247340 296808 330780 368520 371010 457579 494680 661560 742020 915158 1372737 1484040 1830316 2287895 2745474 3660632 4575790 5490948 6863685 9151580 10981896 13727370 18303160 27454740 54909480